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Maths-

General

Easy

Question

If $fraction numerator 2 n over denominator 5 end fraction equals 10$ , what is the value of 2n − 1 ?

24
49
50
99

The correct answer is: 49

○        The concept used in this question is concept of the equation.
○        In this question, equation with one variable is used, which contain only one variable.
○        In equation, LHS = RHS, always.
○        While solving separate the variable term and constant to get the solution

Step by step explanation:

○        Given:
$fraction numerator 2 n over denominator 5 end fraction equals 10$
○        Step 1:
○        Find value of n
Multiply both side by 5,
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow fraction numerator 2 n over denominator 5 end fraction cross times 5 equals 10 cross times 5 end cell row cell not stretchy rightwards double arrow 2 n equals 50 end cell end table$
○        Step 2:
○        divide both side by 2,
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow fraction numerator 2 n over denominator 2 end fraction equals 50 over 2 end cell row cell not stretchy rightwards double arrow n equals 25 end cell end table$
○        Step 3:
○        Put n = 2, in (2n - 1)
2n - 1
2 (25) - 1
50 - 1
= 49
Hence, the (2n - 1) is equal to 49.

Final Answer:

Correct option is,
Option B. 49.

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