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QThe average age of a group of 30 boys is 16 years, and a boy of age 19 leaves the group. A new boy joins the group, and the average age of the group becomes 15.8 years. What is the age of the new boy?

ID: #4586 Average 539 views
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  • A 12 ✔ ✖
  • B 11 ✔ ✖
  • C 13 ✔ ✖
  • D 15 ✔ ✖
Correct Answer

Explanation

The age of the new boy is 13 years.
To find this, we can use the following steps: Let the age of the new boy be X years.
The total age of the 30 boys is 480 years.
The average age of the group becomes 15.8 years when the boy of age 19 leaves and the new boy joins.
Therefore, 480 - 19 + X = 474.
Solving for X, we find that X = -6 + 19 = 13 years.

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