In 7 years, the sum of their ages will be 93

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