The sum of two consecutive even integers is 118. Find the smaller of the two integers.
Consecutive even integers increase by 2 each time you jump from one integer to the next.
x = first consecutive even integer x + 2 = second consecutive even integer x + x + 2 = 118 {the sum of two consecutive even integers is 118} 2x + 2 = 118 {combined like terms} 2x = 116 {subtracted 2 from each side} x = 58 {divided each side by 2} 58 is the first consecutive even integer By the way, x + 2 {second consecutive even integer} = 58 + 2 {substituted 58, in for x, into x + 2} = 60 {added} 60 is the second consecutive even integer Ask the House
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