What are three consecutive odd integers whose sum is 75?
x = first consecutive odd integer
x + 2 = second consecutive odd integer x + 4 = third consecutive odd integer {odd integers are increasing by 2} x + x + 2 + x + 4 = 75 {sum of the three consecutive odd integers is 75} 3x + 6 = 75 {combined like terms} 3x = 81 {subtracted 6 from each side} x = 27 {divided each side by 3} x + 2 = 25 {substituted 27, in for x, into x + 2} x + 4 = 23 {substituted 27, in for x, into x + 4} 27, 25, and 23 are the three consecutive odd integers Ask the House
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January 2021
