![Average age of a group of 30 boys is 16 years. A boy of age 19 leaves the group and a new boy joins the group. If the new average age of the group is 15.8 years, find the age of the new boy.](https://www.gkseries.com/blog/wp-content/uploads/2023/07/Average-age-of-a-group-of-30-boys-is-16-years.-A-boy-of-age-19-leaves-the-group-and-a-new-boy-joins-the-group.-If-the-new-average-age-of-the-group-is-15.8-years-find-the-age-of-the-new-boy.jpg)
Question | Average age of a group of 30 boys is 16 years. A boy of age 19 leaves the group and a new boy joins the group. If the new average age of the group is 15.8 years, find the age of the new boy. | |
Type | multiple_choice | |
Option | 12 years | incorrect |
Option | 13 years | correct |
Option | 14 years | incorrect |
Option | 15 years | incorrect |
Total age of 30 boys = 30*16 = 480 years
As per question, if we minus age of boy who leaves the group and then add the age of boy who joins the group the new average becomes = 15.8 years.
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-86.png)
=15.8
480 – 19 + X = 474
X = 474 – 480 +19
X = – 6 +19
= 13 years