The ages of A and B are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.

Let the present age of A be 7x years and the present age of B be 5x years. According to the question: Ten years hence, the ratio of their ages will be 9 : 7. By cross multiplying, we get : ⇒ 7(7x \+ 10) = 9(5x \+ 10) ⇒ 49x \+ 70 = 45x \+ 90 ⇒ 49x \- 45x = 90 \- 70 ⇒ 4x = 20 ⇒ x = ⇒ x = 5 So, present age of A = 7x = 7 x 5 = 35 years And, present age of B = 5x = 5 x 5 = 25 years Hence, the present ages of A and B are 35 years and 25 years, respectively.

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Mathematics

The ages of A and B are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.

Linear Eqns One Variable

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