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The ratio of the son's age to the father's age is 1 : 4. The product of their ages is 196. The ratio of…

Let the present ages be \(x\) and \(4x\). Then \(4x^2 = 196 \implies x^2 = 49 \implies x = 7\), so their present ages are \(7\) and \(28\). After 5 years, their ages will be…

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The ratio of the son's age to the father's age is 1 : 4. The product of their ages is 196. The ratio of their ages after 5 years will be :

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Correct answer C

Let the present ages be xx and 4x4x. Then 4x2=196  ⟹  x2=49  ⟹  x=74x^2 = 196 \implies x^2 = 49 \implies x = 7, so their present ages are 77 and 2828. After 5 years, their ages will be 1212 and 3333, giving the ratio 12:33=4:1112 : 33 = 4 : 11.

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  • Rajasthan Clerk Grade 2

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