The ages of Tanvy and Divya are in the ratio 5 : 7. Five years hence, their ages will be in the ratio 3 : 4. Find their present ages.
Ratio Proportion
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Question

The ages of Tanvy and Divya are in the ratio 5 : 7. Five years hence, their ages will be in the ratio 3 : 4. Find their present ages.

KnowledgeBoat · Accepted Answer

Given, The ages of Tanvy and Divya are in the ratio 5 : 7. Let the present age of Tanvy be 5x and the present age of Divya be 7x. Five years from now : Tanvy's age will be 5x + 5. Divya's age will be 7x + 5. Given, The ratio of their ages in five years will be 3 : 4. ⇒ 4(5x + 5) = 3(7x + 5) ⇒ 20x + 20 = 21x + 15 ⇒ 21x - 20x = 20 - 15 ⇒ x = 20 - 15 ⇒ x = 5. Tanvy's present age = 5x = 5(5) = 25 years. Divya's present age = 7x = 7(5) = 35 years. Hence, present age of Tnavy and Divya are 25 years and 35 years respectively.

Mathematics

The ages of Tanvy and Divya are in the ratio 5 : 7. Five years hence, their ages will be in the ratio 3 : 4. Find their present ages.

Ratio Proportion

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