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Solving Equations Algebraically

74. Six years...

Question

74. Six years ago, the ratio of the ages of Kunal and Sagar was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Sagar's age at present?

A

(a) 16 years

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B

(b) 18 years

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C

(c) 20 years

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D

(d) Cannot be determined

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Solution

The correct option is A
(a) 16 years

Answer 74. (a)

Explanation:
Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.

Then,

(6x + 6) + 4=11

(5x + 6) + 4= 10

10(6x + 10) = 11(5x + 10)

5x = 10

x = 2.

Sagar's present age = (5x + 6) = 16 years.

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