# Can You Find the Integers?

Discussion in 'Algebra' started by nycmathguy, Jan 26, 2022.

1. ### nycmathguy

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There are 3 consecutive integers. The sum of the first two is 35 more than the third. Find the integers.

Let me see.

Three consecutive integers:

x, x + 1, x + 2

Set Up:

x + x + 1 = 35 + x + 2

Yes?

nycmathguy, Jan 26, 2022

2. ### MathLover1

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correct

MathLover1, Jan 26, 2022
nycmathguy likes this.

3. ### nycmathguy

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There are many more algebraic word problems coming our way. Precalculus takes place on my days off or when time allows.

nycmathguy, Jan 26, 2022
4. ### Country Boy

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You can't stop without completing it!

x + x + 1 = 35 + x + 2
Subtract x from both sides:
x+ 1= 35+ 2= 37
Subtract 1 from both sides:
X= 36.

The three consecutive integers are 36, 37, and 38.

Check: The sum of the first two is 36+ 37= 73. 35 more than the third is 35+ 38= 73.

Yes, "The sum of the first two is 35 more than the third."

Country Boy, Jan 26, 2022

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