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Ram is 7 years younger than Ravi. In four years of time, Ram will be half of Ravi’s age. In the next year the sum of their ages is _________

(A)15 (B)13 (C)17 (D)19

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(A)15 (B)13 (C)17 (D)19

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Ravi's present age = 10 years

therefore sum of their ages next year = (3+1)=(10+1) = 4+11= 15 years

ANS= (A) 15

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Ram's age = R

Ravi's age = V

R + 7 = V

R + 4 = 1/2 ( V + 4 ) => 2 R + 8 = V + 4 => V = 2 R + 4

Hence R + 7 = V = 2 R + 4

R = 3 years and hence V = 10 years

Next year , R + 1 + V + 1 = 15 years

Ravi's age = V

R + 7 = V

R + 4 = 1/2 ( V + 4 ) => 2 R + 8 = V + 4 => V = 2 R + 4

Hence R + 7 = V = 2 R + 4

R = 3 years and hence V = 10 years

Next year , R + 1 + V + 1 = 15 years