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The difference between the present ages of Avanthi and Kapil is 9 years. After 7 years, Kapils age is twice of Avanthis age. What will be Kapils age after 4 years?

The difference between the present ages of Avanthi and Kapil is 9 years. After 7 years, Kapils age is twice of Avanthis age. What will be Kapils age after 4 years? Correct Answer 15

Let the present ages of Kapil and Avanthi be K & A

Given difference in their ages = K - A = 9 years ...........(1)

After 7 years, K + 7 =  2(A + 7) ......(2)

K + 7 = 2A + 14

K - 2A = 7 ............(3)

K - A = 9 ....(1)

From (1) & (3),

-A = -2

=> A = 2 years

=> K = 9 + 2 = 11 years

 

Required, age of Kapil after 4 years = 11 + 4 = 15 years.

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