Question

What are three consecutive even integers such that the sum of the first and twice the second is 20 more than the third?

Answer 1

10, 12, 14

Explanation:

Let `x` be the smallest of the 3 integers
`=>` the second integer is `x + 2`
`=>` the largest integer is `x + 4`

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`x + 2(x + 2) = x + 4 + 20`
`=> x + 2x + 4 = x + 24`
`=> 3x + 4 = x + 24`
`=> 2x = 20`=> x = 10#

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`=> x + 2 = 12`
`=> x + 4 = 14`