Answer:
Given, Shreya's age = 15 yr and Bhoomika's age = 12 yr \[\therefore \]Ratio of their ages \[\text{=}\frac{\text{Shreya }\!\!'\!\!\text{ age}}{\text{Bhoomika }\!\!'\!\!\text{ s}\,\text{age}}=\frac{15yr}{12yr}=\frac{15}{12}\] \[=\frac{15\div 3}{12\div 3}=\frac{5}{4}=5:4\] [\[\because \]HCF of 15 and 12 = 3] Now, mother wants to divide ` 36 between her daughters in the ratio of their ages. \[\therefore \] Sum of the parts of ratios = 5 + 4 = 9 Amount which has to be divided = ` 36 Here, we can say that Shreya gets 5 parts and Bhoomika gets 4 parts out of every 9 parts. \[\therefore \]Shreya's share \[=\frac{5}{9}\times 36=\]` 20 and Bhoomika's share \[=\frac{4}{9}\times 36=\] ` 16 Hence, Shreya gets ` 20 and Bhoomika gets ` 16.
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