Question

A father wants to divide$₹7000$ between his two sons in the ratio of their ages. If the younger son is $7$years old and the elder one is $3$years older than the younger one, find the share of each.

Answer 1

A father divides some money among their sons $=₹7000$

Age of younger son $=7years$

The age of the elder one is $3$years older than the younger ones.

So, the age of the elder son $=4years$

The ratio of the ages of sons $=7:10$

Thus, the father divides money in the ratio to the sons age.

so, the share of the money younger son to the elder son is $7x\&10x$respectively.

Total money $=$ The share of the younger son $+$ The share of the elder son

$$\begin{gathered} 7000=7x+10x \\ 7000=17x \\ \Rightarrow x=\frac{7000}{17} \end{gathered}$$

Share of the younger son $=7x=7\times \frac{7000}{17}=₹2882.35$

Share of the elder son $=10x=10\times \frac{7000}{17}=₹4117.65$

Hence, the share of the younger son is $₹2882.35$ and the share of the elder son is$₹4117.65$