The sum of ages of 5 children born at intervals of 3 years each is 50 years. What is the age of the youngest child?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Let x = the youngest child. Each of the other four children will then be x+3, x+6, x+9, x+12. We know that the sum of their ages is 50 so we can form an equation:

x+(x+3)+(x+6)+(x+9)+(x+12) = 50 

`therefore` 5x+30 = 50

`therefore` 5x=50-30

`therefore x=20/5`

`therefore x=4`

Therefore the...

Unlock
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

Let x = the youngest child. Each of the other four children will then be x+3, x+6, x+9, x+12. We know that the sum of their ages is 50 so we can form an equation:

x+(x+3)+(x+6)+(x+9)+(x+12) = 50 

`therefore` 5x+30 = 50

`therefore` 5x=50-30

`therefore x=20/5`

`therefore x=4`

Therefore the youngest child is 4 years old. 

Approved by eNotes Editorial Team