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Three years ago, the average age of a family of 5 members is 27 years. The present average age of the family remains the same after the inclusion of a child in the family. Find the age of the child? 
1. 15 yrs
2. 13 yrs
3. 14 yrs
4. 10 yrs
5. 12 yrs

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Correct Answer - Option 5 : 12 yrs

Given:

The average age of a family of 5 members 3 years ago = 27 yrs

Present average age of the family changes after a child is included = 27 yrs

Calculation:

Total age of 5 members (3 years ago) = 27 × 5 = 135.

⇒ Total age of 5 members (at present) = 135 + 5 × 3 = 150

⇒ Let the present age of child be x.

⇒ 27 = (150 + x)/6

⇒ x = 162 – 150 = 12 yrs.

Present age of the child is 12 years. 

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