equations and problem solving

Question

the sum of two consecutive odd integers is 76

Answer 1

x = first consecutive odd integer
x + 2 = 2nd consecutive odd integer

x + x + 2 = 76 {the sum of the two consecutive odd integers is 76}
2x + 2 = 76 {combined like terms}
2x = 74 {subtracted 2 from both sides}
x = 37 {divided both sides by 2}
x + 2 = 39 {substituted 37, in for x, into x + 2}

37 and 39 are the two consecutive odd integers
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