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Find three consecutive even integers such that the sum of the smallest number and twice the middle number is 20 more than the largest number.

Solução

Find three consecutive even integers such that the sum of the smallest number and twice the middle number is 20 more than the largest number.

Solução

The numbers : 10, 12, 14

Passos da solução

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

A.T.Q.:

x + 2 (x + 2) = 20 + x + 4

Resolver

x + 2 (x + 2) = 20 + x + 4 : x = 10

x + 2 = 10 + 2 = 12

x + 4 = 10 + 4 = 14

The numbers : 10, 12, 14

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