Question

Mother wants to divide Rs. $36$ between her daughters Shreya and Bhoomika in the ratio of their ages. If age of Shreya is $15$ years and age of Bhoomika is $12$ years, find how much Shreya and Bhoomika will get?

Answer 1

Ratio of ages$=\frac{15}{12}=\frac{5}{4}$
Therefore, mother wants to divide Rs. $36$ in a ratio of $5:4$.
Terms of $5:4$ are $5$ and $4$.
Sum of these terms$=5+4=9$
Shreya will get $\frac{5}{9}$ of the total money and Bhoomika will get $\frac{4}{9}$ of it.
Amount that Shreya will get $=\frac{5}{9}\times 36=20$
Amount that Bhoomika will get $=\frac{4}{9}\times 36=16$
Therefore, Shreya and Bhoomika will get Rs. $20$ and Rs. $16$ respectively.