Question

rahim is thrice as old as cherry, and in 4 years the sum of their ages will be 40 years. find their present ages.​

Answer 1

Answer :-

The present ages of cherry and rahim are 8 and 24 respectively.

Explanation :-

• Present age of cherry as x
• rahim present age = 3x

After 4 Years :-

• cherry = x + 4

• rahim = 3x + 4

★ $\boxed{\sf{(x+4)+(3x+4)=40}}$

$\tt{\implies} \: (x + 4) + (3x + 4) = 40$

$\tt{\implies} \: x + 4 + 3x + 4 = 40$

$\tt{\implies} \: 4x + 8= 40$

$\tt{\implies} \: 4x = 40 - 8$

$\tt{\implies} \: 4x = 32$

$\tt{\implies} \: x = \dfrac{32}{4}$

$\tt{\implies} \: x = 8$

Verification :-

$\sf{\implies} \: 8 + 4 + (3 \times 8)+ 4 = 40$

$\sf{\implies} \: 12 + 24 + 4 = 40$

$\sf{\implies} \:40= 40$

L.H.S = R.H.S

The present ages of Cherry and Rahim are 8 and 24 respectively.