SOLUTION: Three consecutive even integers are such that the square of the third is 100 more than the square of the second. Find the three integers.

Algebra.Com
Question 178286: Three consecutive even integers are such that the square of the third is 100 more than the square of the second. Find the three integers.
Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Consecutive even integers are of the form , , , etc...


So the word problem translates to


Start with the given equation.

FOIL

Get all terms to the left side.

Combine like terms.

Add to both sides.

Divide both sides by to isolate .

Reduce.

----------------------------------------------------------------------
Answer:
So the answer is which means that the numbers are



So the numbers are 22, 24, and 26

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Call the consecutive even integers
, , and
given:

--------






The numbers are 22,24, and 26
check:




OK

RELATED QUESTIONS

Three consecutive even integers are such that the square of the third is 100 more than... (answered by checkley75)
Three consecutive even integers are such that the square of the third is 100 more than... (answered by nerdybill)
Three consecutive even integers are such that the square of the third is 76 more than the (answered by venugopalramana)
Three consecutive even integers are such that the square of the third is 76 more than the (answered by Nate)
Three consecutive even integers are such that the square of the third is 76 more than the (answered by ankor@dixie-net.com)
Three consecutive even integers are such that the square of the third is 76 more than the (answered by jmichau3)
Three consecutive even integers are such that the square of the third is 76 more than the (answered by checkley75)
Three consecutive even integers are such that the square of the third is 76 more than the (answered by solver91311)
Three consecutive even integers are such that the square of the third is 76 more than the (answered by nerdybill)