Correct Answer - Option 1 : 54 years
Given,
The current age of A is 10 years more than that of B.
A = B + 10
B = A - 10
Let the current age of A be x.
⇒ Current age of B = x - 10
Given,
Before 4 years, the age of A was twice the age of B.
A - 4 = 2 (B - 4)
x - 4 = 2(x - 10 - 4)
x - 4 = 2(x - 14)
x - 4 = 2x - 28
2x - x = 28 - 4
x = 24
So, present age of A = 24
Given,
After 6 years, the age of C will be twice the age of A.
Let present age of C be C.
C + 6 = 2(A + 6)
C + 6 = 2 (24 + 6)
C + 6 = 2(30)
C + 6 = 60
C = 60 - 6
C = 54
So, present age of C is 54.
Hence, the correct answer is "54".