# SOLUTION: Matthew and alex are brothers. one is 5 years older than the other. The sum of their ages are 27. what are there ages?

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 Question 523198: Matthew and alex are brothers. one is 5 years older than the other. The sum of their ages are 27. what are there ages?Answer by algebrahouse.com(1079)   (Show Source): You can put this solution on YOUR website!x = one x + 5 = other {one is 5 years older than the other} x + x + 5 = 27 {sum of their ages is 27 2x + 5 = 27 {combined like terms} 2x = 22 {subtracted 5 from both sides} x = 11 {divided both sides by 2} x + 5 = 16 {substituted 11, in for x, into x + 5} 11 and 16 are their ages www.algebrahouse.com