Question

# Ram's mother is four times as old as Ram now. After sixteen years, she will be twice as old as Ram. Find their present ages.

Hint:

### let the rams present age be x ; find the ram’s mothers age now

Calculate ram’s and ram’s mothers age after 16 yr by adding 16 to their present ages . After sixteen years, she will be twice as old as Ram.

Apply the condition and calculate the present ages .

## The correct answer is: 32 years

### Ans :- The present age of ram is 8 and the present age of ram’s mother 32 (in years) .

Explanation :-

Step 1:- calculate present age ram’s mother

let the rams present age be x

Ram's mother is four times as old as Ram now

Now , Ram's mother = 4x

Step 2:-After 16 year calculate the ram’s and ram’s mother age

After 16 yr ram’s age = x+16

After 16 yr ram’s mother age = 4x+16

Step 3:-Apply the given condition and find their respective ages

But After sixteen years, she will be twice as old as Ram

So, 4x+16 = 2(x+16)

4x +16 = 2x + 32

4x-2x = 32 -16

2x = 16

x =8

∴The present age of ram = x = 8 yrs and the present age of ram’s mother = 4x = 32 yrs.

### Related Questions to study

### Tanay obtained 98 marks in a mathematics test. His score is the highest in the class and it is also 8 more than three times the lowest score. Create the equation and calculate the lowest score.

### Tanay obtained 98 marks in a mathematics test. His score is the highest in the class and it is also 8 more than three times the lowest score. Create the equation and calculate the lowest score.

### Find three consecutive odd numbers whose sum is 159.

### Find three consecutive odd numbers whose sum is 159.

### Solve 3x - 2y = 6 and

### Solve 3x - 2y = 6 and

### Solve the following by substitution method 2x - 3y = 7 and x + 6y = 11.

### Solve the following by substitution method 2x - 3y = 7 and x + 6y = 11.

### Solve the following by using elimination method: 2x + y = 6 , 3y = 8 + 4x

### Solve the following by using elimination method: 2x + y = 6 , 3y = 8 + 4x

### Solve 2a – 3/b = 12 and 5a – 7/b = 1

### Solve 2a – 3/b = 12 and 5a – 7/b = 1

### Solve the following equations by using the elimination method: x - y = 1 , 3x - y = 9

### Solve the following equations by using the elimination method: x - y = 1 , 3x - y = 9

### Solve the following system of linear equations: 2x - 4y = 6 , x - 3y = 12

### Solve the following system of linear equations: 2x - 4y = 6 , x - 3y = 12

### Solve: x - 2y = 8 , 4x + 2y = 7 by using elimination method.

### Solve: x - 2y = 8 , 4x + 2y = 7 by using elimination method.

For the solution of the system of equations above, what is the value of ?

**Note:**

The equations can be solved in many other ways like substitution

method which is: to eliminate one variable in any one of the

equations with the help of other equation. As we need to find the

value of x, we try to find the value of y in terms of x from one

equation. Then put that value of y in the other equation to get a linear equation in one variable , which is x.

For the solution of the system of equations above, what is the value of ?

**Note:**

The equations can be solved in many other ways like substitution

method which is: to eliminate one variable in any one of the

equations with the help of other equation. As we need to find the

value of x, we try to find the value of y in terms of x from one

equation. Then put that value of y in the other equation to get a linear equation in one variable , which is x.

### If E, F, G and H are respectively the mid points of the sides of a parallelogram ABCD and ar(EFGH) = 40 sq.cm , find the ar (parallelogram ABCD).

### If E, F, G and H are respectively the mid points of the sides of a parallelogram ABCD and ar(EFGH) = 40 sq.cm , find the ar (parallelogram ABCD).

### A soft drink is available in two packs. i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?

### A soft drink is available in two packs. i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?

### Two transversals are cutting two parallel lines as shown in the diagram. Find the missing values: x, y and

### Two transversals are cutting two parallel lines as shown in the diagram. Find the missing values: x, y and

### Find the value of x and classify the triangle by its angles.

### Find the value of x and classify the triangle by its angles.

**Note:**

The definition of probability used above is the definition of theoretical probability or classical probability. There are many other terms in the concept of probability that the student must be familiar with to solve this question, such as event, outcome, favour able outcome, etc.

**Note:**

The definition of probability used above is the definition of theoretical probability or classical probability. There are many other terms in the concept of probability that the student must be familiar with to solve this question, such as event, outcome, favour able outcome, etc.