# Before 4 years, the age of A was twice the age of B. After 6 years, the age of C will be twice the age of A. The current age of A is 10 years more tha

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Before 4 years, the age of A was twice the age of B. After 6 years, the age of C will be twice the age of A. The current age of A is 10 years more than that of B. What is the current age of C?
1. 54 years
2. 50 years
3. 74 years
4. 34 years

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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".