Question

The average age of 5 boys is 16 yr, of which that 4 boys is 16 yr 3 months the age of the 5th boy is ?

• A. 15 years
• B. 15 years 6 months
• C. 17 years
• D. 15 years 7 months

Answer 1

Answer:

A. 15 years

Step-by-Step Calculation for the Given Problem:

• First, calculate the total age of all 5 boys. Since their average age is 16 years, the total age = 5 boys × 16 years/boy = 80 years.

• Next, calculate the total age of the 4 boys. The average age given is 16 years and 3 months.

• It's important to convert months into a fractional part of a year for consistent units. 3 months = 3/12 year = 0.25 years. So, 16 years 3 months is equivalent to 16.25 years.

• The total age of 4 boys = 4 boys × 16.25 years/boy = 65 years.

• Finally, to find the age of the 5th boy, subtract the total age of the 4 boys from the total age of all 5 boys.

• Age of 5th boy = (Total age of 5 boys) - (Total age of 4 boys) = 80 years - 65 years = 15 years.