A man is 20 years older than his son. The sum of their ages is 50. How old are they?

**x = son's age**

x + 20 = man's age{he is 20 years older than his son}

x + 20 = man's age

x + x + 20 = 50 {sum of ages is 50}

2x + 20 = 50 {combined like terms}

2x = 30 {subtracted 20 from each side}

x = 15 {divided each side by 2}

x + 20 = 35 {substituted 15, in for x, into x + 20}

**son is 15**

man is 35

man is 35

**- Algebra House**