6 years hence, age of A is 22 years. The present age of A & B is 48 years. C is 10years younger than B. find the age of C.

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  1. 42 years
  2. 20 years
  3. 25 years
  4. 22 years
  5. 50 years

Answer (Detailed Solution Below)

Option 4 : 22 years
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Detailed Solution

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Given:

6 years hence, age of A is 22 years.

Present age of A + B is 48 years.

C is 10 years younger than B.

Formula used:

Let the present age of A be x, the present age of B be y, and the present age of C be z.

Calculation:

6 years hence, the age of A = 22 years, so present age of A is:

x + 6 = 22

⇒ x = 22 - 6 = 16 years

The present age of A + B is 48 years:

x + y = 48

Substitute x = 16 into this equation:

16 + y = 48

⇒ y = 48 - 16 = 32 years

C is 10 years younger than B, so the present age of C is:

z = y - 10 = 32 - 10 = 22 years

∴ The present age of C is 22 years.

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