Question

Three boys are aged $10\mathrm{years}$, $12\mathrm{years}$ and $16\mathrm{years}$. They want to divide $₹4560$ in the ratio of their ages. How much money would each get?

Answer 1

Ratio:

The ages of the three boys in the ratio$=10˸12˸16$

The ages of the three boys in the ratio (lowest form)$=5˸6˸8$

Sum of the terms in the ratio$=5+6+8=19$

$1^{st}$ boy share$=\frac{5}{19}\times 4560$

$$\begin{gathered} =5\times 240 \\ =₹1,200 \end{gathered}$$

$2^{nd}$boy share$=\frac{6}{19}\times 4560$

$$\begin{gathered} =6\times 240 \\ =₹1,440 \end{gathered}$$

$3^{rd}$boy share$=\frac{8}{19}\times 4560$

$$\begin{gathered} =8\times 240 \\ =₹1,920 \end{gathered}$$

Hence, they get $₹1,200$, $₹1,440$ and $₹1,920$.