Question

Kanwar is 3 years older than Anima. 6 years ago, Kanwar’s age was 4 times Anima’s age. Find the age of Kanwar.

Answer 1

Answer:

$\boxed{\boxed{\boxed{\sf Present \: age \: of \; Kanwar = \red10 yrs}}}$

✳SOLUTION✳

Given

Kanwar is 3 years older than Anima. 6 years ago, Kanwar’s age was 4 times Anima’s age.

To Find

The age of Kanwar.

DETAILED ANSWER

Let us assume that the present age of Amina = x $\longrightarrow$(1)

∵ Kanwar is 3 years older than Anima.

Present age of Kanwar = x + 3 $\longrightarrow$ (2)

∵ It is given that 6 years ago, Kanwar’s age was 4 times Anima’s age.

x + 3 – 6 = 4 (x – 6)

$\implies$

x - 3 = 4x - 24

$\implies$

4x - x = 24 - 3

$\implies$

3x = 21

$\implies$

$\sf x = \dfrac{21}{3}$

$\implies$

x = 7

$\blue\bigstar$ The Present age of Amina ( x ) = 7

Now , On substituting the age of Amina ie as x = 7 in (2) , we get Present age of Kanwar as

$\red\bigstar$ Present age of Kanwar = 7 + 3 = 10