Three consecutive integers have a sum of
81
. Find the integers.

Posted on Apr 17, 2017, by Lilybeth needs help

"three consecutive integers" means three whole numbers in a row. So we can call the lowest of the three numbers "x", the second number "x+1", and the third number "x+2". If you add these three terms together, the sum is 81. Let's put that into an equation.
x + x+1 + x+2 = 81
simplify by combining the x's and the numbers together
3x + 3 = 81
subtract 3 from each side
3x = 78
divide each side by 3
x = 26
So the first integer "x" is 26, meaning the three integers are:
26, 27, and 28.
You can check your work by adding them together to see if they equal 81.
26+27+28 = 81 ✓

"three consecutive integers" means three whole numbers in a row. So we can call the lowest of the three numbers "x", the second number "x+1", and the third number "x+2". If you add these three terms together, the sum is 81. Let's put that into an equation.

x + x+1 + x+2 = 81

simplify by combining the x's and the numbers together

3x + 3 = 81

subtract 3 from each side

3x = 78

divide each side by 3

x = 26

So the first integer "x" is 26, meaning the three integers are:

26, 27, and 28.

You can check your work by adding them together to see if they equal 81.

26+27+28 = 81 ✓