Question
In a town there are 2 brothers namely Anand and Suresh. Adding 1/3 rd anand’s age and suresh age would sum up to 10. Also adding Anand’s age together with 1⁄2 of suresh age would sum up to 10. Find Anand and Suresh ages.
Hint:
let the age of Anand be x years and age of suresh be y years
Adding 1/3 rd anand’s age and suresh age would sum up to 10.
Adding Anand’s age together with 1⁄2 of suresh age would sum up to 10
Find the equations and solve them to find their respective ages.
The correct answer is: 8 years
Ans :- age of anand = 6 yrs ; age of suresh = 8 yrs
Explanation :-
let the age of Anand be x years and age of suresh be y years
Step 1:- Frame the equations using the given conditions.
Adding 1/3 rd anand’s age and suresh age would sum up to 10.
So,
— Eq1
Adding Anand’s age together with 1⁄2 of suresh age would sum up to 10
So,
— Eq2
Step 2:- Eliminate x and find y
Doing, 3(Eq1)-Eq2 to eliminate x.
![3 open parentheses bold italic x over 3 plus bold italic y close parentheses minus open parentheses x plus y over 2 close parentheses equals 3 left parenthesis 10 right parenthesis minus 10](data:image/png;base64,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)
![not stretchy rightwards double arrow x minus x plus 3 y minus y over 2 equals 30 minus 10](data:image/png;base64,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)
![not stretchy rightwards double arrow fraction numerator 5 y over denominator 2 end fraction equals 20 not stretchy rightwards double arrow y equals 20 open parentheses 2 over 5 close parentheses equals 4 space cross times space 2 equals 8](data:image/png;base64,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)
∴ y = 8
Step 3:- Find x by substituting y= 8 in Eq2
![x plus y over 2 equals 10 not stretchy rightwards double arrow x plus 4 equals 10](data:image/png;base64,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)
![not stretchy rightwards double arrow x equals 10 minus 4 equals 6](data:image/png;base64,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)
∴ x = 6
∴ age of Anand is 6 years and age of suresh is 8 years .
Related Questions to study
From a cylindrical wooden log of length 30 cm and base radius 72 cm, biggest cuboid of square base is made. Find the volume of wood wasted?
From a cylindrical wooden log of length 30 cm and base radius 72 cm, biggest cuboid of square base is made. Find the volume of wood wasted?
Find the area of the figure.![GE equals 14 cm comma HF equals 10 cm comma AD equals 24 cm straight & BC equals 12](data:image/png;base64,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)
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Find the area of the figure.![GE equals 14 cm comma HF equals 10 cm comma AD equals 24 cm straight & BC equals 12](data:image/png;base64,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)
.
![y equals 2 x plus 4](data:image/png;base64,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)
![y equals left parenthesis x minus 3 right parenthesis left parenthesis x plus 2 right parenthesis](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHoAAAARCAYAAAASarh9AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAntJREFUeNrtmdFnHEEcx1fUiriXOHEPeQinDxEVIU8n4oSIqjonREREVYmIU/kHqg8RTh5OHvJWeaiqUhURESEi4lSEqKo+VKn8D3mIc0L63fUNazJzO5fdmV3nvny43Z27/e78dn7zmznHSUaroOqkV1V67FT/VjQKzp306zu9dpp/qwbGErz/FDgEN6AB/oItkBXajYN6Cv1PgG/gGjTBT7Aoaafyb0Vj7KgkdQpmgSv4OpK0rbPD0uT/DCyADI9H6GlBw781bYJKSlPdteTcW2EuNun/LsJ3h8AvDf/ODpiXNFwDGzE+jDdqJiXn3yiKm3VeM608+CM5XwAnlvzfRXyGhoZ/5xXf1qD6OH9lFabCUI0aV3HtB8gFjl+DbcMBzvE+3nO+kFx3hZFu0n+UQBcUU4ro33/Ir0Kj9+BdzB172+Lac1Dj52nxTTSQJoOstWjbtOT/sYHuBRcs0sL8+6P2d+B4APzjj9gKtKdjUGQlmW0zWLpZJah+UGZHFSMGOin/e2BG80X1dRP4XAt5y02k7vuaoJnA+i/DYEdJ3VH9tzui8wzy0xZtXFmRWeeX8xzNPQY69LhFirlfH9YUSwXT0ilmTPpvJ9DD4APrqLC5+8EU8hGUwGewZHl55b1c+zTuja5LjdQXp0ZZkImqCEWqSf+6gc6xnnqi0bYiKbL9tLOjWI+Z3DAZ4E5VsGNegk8GNxzm2FE93Cm74srjMRsmcfnXDfQBR7SOpBsmZd6sZHj0nAfmMG8O2QWDknZfWMnGrUl2VoOcMjCiVFuISfvXrYuUW6Alx85mffdPjWT9++mnYMnEipPuv/m8eW25E/0/YzrrqkP1H3m2zB8IZDtmAAAAvnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT55PC9taT48bW8+PTwvbW8+PG1vPig8L21vPjxtaT54PC9taT48bW8+JiN4MjIxMjs8L21vPjxtbj4zPC9tbj48bW8+KTwvbW8+PG1vPig8L21vPjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjI8L21uPjxtbz4pPC9tbz48L21hdGg+jErlxgAAAABJRU5ErkJggg==)
The system of equations above is graphed in the xy -plane. At which of the following points do the graphs of the equations intersect?
Note:
We can solve the equations by other methods too, but the method of substitution is most suitable here. Also, instead of solving
by middle term factorisation, we could also use the quadratic formula, which is given by
Where the standard form of equation is
![y equals 2 x plus 4](data:image/png;base64,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)
![y equals left parenthesis x minus 3 right parenthesis left parenthesis x plus 2 right parenthesis](data:image/png;base64,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)
The system of equations above is graphed in the xy -plane. At which of the following points do the graphs of the equations intersect?
Note:
We can solve the equations by other methods too, but the method of substitution is most suitable here. Also, instead of solving
by middle term factorisation, we could also use the quadratic formula, which is given by
Where the standard form of equation is
Find the area of an isosceles trapezium ABCD, if the parallel sides are 6cm and 14 cm, its non parallel sides is 5cm each.
![](data:image/png;base64,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)
Find the area of an isosceles trapezium ABCD, if the parallel sides are 6cm and 14 cm, its non parallel sides is 5cm each.
![](data:image/png;base64,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)
and
Solve by using the elimination method.
and
Solve by using the elimination method.
The sides of a parallelogram are 12cm and 8cm. one of the diagonal is 10cm long. If d is the length of the other diagonal, then which of the following is correct?
The sides of a parallelogram are 12cm and 8cm. one of the diagonal is 10cm long. If d is the length of the other diagonal, then which of the following is correct?
Cylindrical vessel of diameter 9 cm has some water in it. A cylindrical iron piece of diameter 6 cm and height 4.5 cm is dropped in it. After it was completely immersed, find the rise in the level of water.
Cylindrical vessel of diameter 9 cm has some water in it. A cylindrical iron piece of diameter 6 cm and height 4.5 cm is dropped in it. After it was completely immersed, find the rise in the level of water.
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)
During mineral formation, the same chemical compound can be come different minerals depending on the temperature and pressure at the time of formation. A phase diagram is a graph that shows the conditions that are needed to form each mineral. The graph above is a portion of the phase diagram for aluminosilicates, with the temperature t , in degrees
Celsius
, on the horizontal axis, and the pressure p , in gigapascals (G Pa), on the
Which of the following systems of inequalities best describes the region where sillimanite can form?
Note:
We do not have the exact inequalities in the option, so we choose the one from the options which is the closest approximation of the inequalities that we have calculated. There are a couple of formulas and concepts used here, such as the equation of a line passing through two points and the concept that the region below a line is given by replacing the equality sign with less than or equal to in the standard form of the equation and vice versa.
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)
During mineral formation, the same chemical compound can be come different minerals depending on the temperature and pressure at the time of formation. A phase diagram is a graph that shows the conditions that are needed to form each mineral. The graph above is a portion of the phase diagram for aluminosilicates, with the temperature t , in degrees
Celsius
, on the horizontal axis, and the pressure p , in gigapascals (G Pa), on the
Which of the following systems of inequalities best describes the region where sillimanite can form?
Note:
We do not have the exact inequalities in the option, so we choose the one from the options which is the closest approximation of the inequalities that we have calculated. There are a couple of formulas and concepts used here, such as the equation of a line passing through two points and the concept that the region below a line is given by replacing the equality sign with less than or equal to in the standard form of the equation and vice versa.