Find three consecutive even integers such that the sum of the smallest integer and twice the second is 12 more than the third (only an algebraic solution will be accepted)

Question

Mathematics

Tommy

1 November, 13:44

Find three consecutive even integers such that the sum of the smallest integer and twice the second is 12 more than the third (only an algebraic solution will be accepted)

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Answers (1)

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Scott Mcclain · Answer 1

Let us call them a, b and c

we know that

a+1=b

a+2=c

a+2b=12+c

we can deduce the following:

a+2 (a+1) = 12 + (a+2)

3a+2=a+14

2a=12

a=6

so b would be 7 and c would be 8

Makes sense?