SOLUTION: The average age of five boys is 15 years. A sixth boy joins them, making the average age 15 years and 6 months. What is the age of this sixth boy? Please reply as soon as possib

Question 825853: The average age of five boys is 15 years. A sixth boy joins them, making the average age 15 years and 6 months. What is the age of this sixth boy?
Please reply as soon as possible because I am applying for Bergen Academies and I need help and I would really appreciate.
Thankyou!
My work:
15*5=75
75x=186
x=2.48
It is a impossible for the sixth boy to be 2.48 years old, therefore i find it difficult to complete this problem...

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
is the sum of the ages of the first 5 boys.
When the sixth boy joins them, the sum of the ages of the 6 boys is
, and the average of the ages of the 6 boys is

15 years and 6 months =

So, .

Solving:

Think of it a different way to make it a mental math problem.
The sixth boy must be older than 15.
How much older?
His extra age (over 15) must be enough that divyied up over the 6 boys it would add year to the average.

SO that sixth boy is 3 years older than the average, and .
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