Question

A father left a will of Rs $16,400$ for his two sons aged $17$ and $18$ years. They must get equal amounts when they are $20$ years at $5$ compound interest. Find the present share of the elder son.

___

Answer 1

Let the share of the elder son be $x$.

$x{(1+\frac{5}{100})}^2=(16400-x){(1+\frac{5}{100})}^3$

$x=(16400-x)(1+\frac{5}{100})$

$x=8400$