Three consecutive integers are such that three times the smallest is 26 more than the largest. Find the integers.

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03-03-2021
Mathematics

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Three consecutive integers are such that three times the smallest is 26 more than the largest. Find the integers.

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topeadeniran2 topeadeniran2 · Answer 1 · 2021-03-05T19:34:09-05:00

topeadeniran2 topeadeniran2

05-03-2021

Answer: 14, 15 and 16

Step-by-step explanation:

Let the numbers be a, a+1 and a+2

We are told that the three consecutive integers are such that three times the smallest is 26 more than the largest. This can be formed into an equation as:

(3 × a) = (a+2 + 26)

3a = a + 28

3a - a = 28

2a = 28

a = 28/2

a = 14

The numbers are 14, 15 and 16

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