Cary is 9 years older than Dan. In 7 years, the sum of their ages will equal 93. Find both of their ages now. x = Dan's age now
x + 9 = Cary's age now {Cary is 9 yrs older than Dan} x + 7 = Dan's age in 7 years x + 16 = Cary's age in 7 years x + 7 + x + 16 = 93 {in seven years the sum of their ages will be 93} 2x + 23 = 93 {combined like terms} 2x = 70 {subtracted 23 from both sides} x = 35 {divided both sides by 35} x + 9 = 44 {substituted 35, in for x, into x + 9} Dan is 35 Cary is 44  Algebra House
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