Cary is 9 years older than Dan. In 7 years, the sum of their ages will equal 93.

Find both of their ages now.

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}

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 44Cary is 44

**- Algebra House**