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 + 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  Algebra House
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