The sum of two values is 53. One value is 3 more than the other. What is the larger of the two values?
x = one value
x + 3 = other value {one is three more than the other}
x + x + 3 = 53 {sum of the two values is 53}
2x + 3 = 53 {combined like terms}
2x = 50 {subtracted 3 from each side}
x = 25 {divided each side by 2}
x + 3 = 28 {substituted 25, in for x, into x + 3}
28 is the larger of the two values
- Algebra House
