Three years ago, the average age of a family of 5 members was 17 years. A baby having been born and the average age of the family is the same as three years ago. The present age of the baby (in years) is _____?
- 4
- 2
- 3
- None of these
Explanation
Three years ago, the total age of the 5 family members was:
5 x 17 = 85 years
Now, the total age of the 5 family members, considering the 3 years that have passed, is:
85 + 5 x 3 = 100 years
The total age of the 6 family members (including the baby) is:
100 + baby's age
Since the average age remains the same (17 years), we can set up the equation:
(100 + baby's age) / 6 = 17
Multiply both sides by 6:
100 + baby's age = 102
Subtract 100 from both sides:
baby's age = 2
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