Q.15 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.

Ratio of ages \(= \frac{15}{12} = \frac{5}{4} \) = 5 : 4
Hence, mother wants to divide Rs 36 in the ratio of 5: 4
Terms of 5: 4 are 5 and 4
Sum of these terms = 5 + 4 = 9
Here Shreya will get \(\frac{5}{9} \) of total money and
Sangeeta will get \(\frac{4}{9} \) of total money

The amount Shreya get = \(\frac{5}{9} × 36 \) = 20
The amount Sangeeta get = \(\frac{4}{9} × 36 \) = 16
Therefore Shreya will get Rs 20 and Sangeeta will get Rs 16