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

Answer :

adin
ram's present age = 3 years
Ravi's present age = 10 years 
therefore sum of their ages next year = (3+1)=(10+1) = 4+11= 15 years
ANS= (A) 15

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


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