William is 3 years older than charmine the sum of 3 times charmines age and 2 times williams age is 76 how old are william and charmine

William is 17 and Charmine is 14

let Charmine's age be x then William is x + 3, then

3x + 2 (x + 3) = 76

3x + 2x + 6 = 76

5x + 6 = 76 (subtract 6 from both sides)

5x = 70 (divide both sides by 5)

x = 14

Charmine is 14 and William is 14 + 3 = 17