Question

Three consecutive integers add up to 90. Find the integers

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Answer 1

Step-by-step explanation:

The integers are 29, 30 and 31. Hopefully this helps!

Let the smallest of three consecutive even integers be x, thus other two consecutive even integers are x + 2 and x + 4.

As per the statement, sum of these three consecutive even integers is 90. As such

x + x + 2 + x + 4 = 90

3x + 6 = 90

3x = 90 - 6

3x = 84

x = 84/3

x= 28

The smallest of three consecutive even integers is 28. other two integers are

x + 2 = 28 + 2 = 30

x + 4 = 28 + 4 = 32

Thus three consecutive even integers are 28, 30 and 32

Answer the three consecutive integers are 28, 30 and 32.

Let us check the correctness of answer by taking sum of these derived numbers, the sum should be 90

28 + 30 + 32 = 90

90 = 90

Means answer is correct

Answer 2

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Answer:

Let the numbers be

$x, x+1 ,x+2$

x + x + 1 + x + 2 = 90

3x + 3 = 90

3x = 87

x = 29

So, the numbers are 29, 30 and 31

Thanks