Q:

The sum of 3 consecutive integers is 72 find the integers

Accepted Solution

A:
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Define x :
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Let the smallest number be x.
The other two numbers will be x + 1 and x + 2.

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Construct Equation :
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Sum of these numbers is 72
β‡’ x + x + 1 + x + 2 = 72

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Solve for x :
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x + x + 1 + x + 2 = 72
3x + 3 = 72
3x = 69
x = 23

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Find the numbers :
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1st number = x = 23
2nd number = x + 1 = 23 + 1 = 24
3rd number = x + 2 = 23 + 2 = 25

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Answer : The numbers are 23, 24 and 25.
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