Question

Three friends all have ages that are consecutive internet’s. The sum of their ages is 57. What is the age of the oldest friend

Answer 1

To solve this problem you must apply the proccedure shown below:

1. You have that the ages of three friends are consecutive integers and the sum of their ages is
`57`. Therefore, let's call the age of the youngest friend
`x`, the middle age
`(x+1)` and the age of the oldest
`(x+2)`. Then, you can write the following expression and solve for
`x`:

`x+(x+1)+(x+2)=57\\ 3x+3=57\\ x=18`

2. Therefore, the age of the oldest friend is:

`x+2=18+2=20`

The answer is:
`20` years old.