Sum of the present ages of Kishan and his granddaughter is 82 years. After 4 years, Kishan will be 4 times the age of his granddaughter. Find out what was the age of Kishan 11 years before?

Sum of the present ages of Kishan and his granddaughter is 82 years. After 4 years, Kishan will be 4 times the age of his granddaughter. Find out what was the age of Kishan 11 years before? Correct Answer 57 years

Suppose the present ages of his granddaughter and Kishan be x and (82 – x) years respectively;

Then,

(82 – x) + 4 = 4(x + 4)

⇒ 86 – x = 4x + 16

⇒ 5x = 70

⇒ x = 14

So, present age of Kishan = 82 – 14 = 68 years

Hence,

Age of Kishan before 11 years = (x – 11) = 57 years

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