Find the product of three consecutive even integers whose sum is 42. x = first integer x + 2 = second consecutive even integer x + 4 = third consecutive even integer {consecutive even integers increase by 2} x + x + 2 + x + 4 = 42 {their sum is 42} 3x + 6 = 42 {combined like terms} 3x = 36 {subtracted 6 from each side} x = 12 {divided each side by 3} x + 2 = 14 {substituted 12, in for x, into x + 2} x + 4 = 16 {substituted 12, in for x, into x + 4} the three integers are 12, 14, and 16 Their product = 12 x 14 x 16 {product means multiply} = 2688 {multiplied}  Algebra House Comments are closed.

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