Question

Monoj is 5 years younger than Mukesh. After four years Mukesh will be twice as old as Monoj. Find their present ages.

Answer 1

Let the present age of Mukesh be a

Present age of Manoj = a - 5

According to question,

( a + 4) = 2( a - 5 +4)

=> a + 4 = 2 ( a - 1)

=> a + 4 = 2a - 2

=> 2a - a = 4 + 2

=> a = 6

Mukesh's present age = 6 years

Manoj's present age = 1 year

Answer 2

$\textbf {Your answer !!}$

$\text {Let Mukesh's age = x}$

$\text {Manoj's age = x - 5}$

[___After 5 years___]

$= > 2(x - 5 + 4) =( x + 4 )\\ \\ = > 2(x - 1) = (x + 4) \\ \\ = > 2x - 2 = x + 4 \\ \\ = > 2x - x = 4 + 2 \\ \\ = > 1x = 6 \\ \\ = > x = \frac{6}{1} \\ \\ = > x = 6$

$\textbf {Present age of Mukesh = x = 6 years !!}$

$\textbf {Present age of Manoj = x - 5 = 6 - 5 = 1 year !!}$

$\text {Thanks !!}$