Question

Three friends all have ages that are consecutive integers. The sum of their ages is 180. What is the age of the oldest friend?

Answer 1

Explanation:

Oldest friend=X+2; Middle friend=X+1; Youngest friend=X

X+(X+1)+(X+2)=180

3X+3=180 Subtract 3 from each side.

3X=177 Divide each side by 3

X=59 Youngest friend is 59.

X+2=59+2=61 ANSWER: Oldest friend is 61.

X+2=59+1=60 Middle friend is 60.

CHECK:

Sum is 180

59+60+61=180

180=180