Problema Solution

Consecutive integers are 1, 2, 3, 4, and so on. Consecutive even integers are 2, 4, 6, 8 and so on. The sum of an even integer and twice the next consecutive even integer is 178. Write and solve an equation to find the two integers. Let 2x represent the first even integer.

Answer provided by our tutors

2x + 2(2x + 2) = 178


by solving we find


x = 29


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2x = 2*29 = 58


2x + 2 = 60


indeed


58 + 2*60 = 178


the two integers are 58 and 60.