SOLUTION: I need help on this word problem: Find three consecutive even integers such that the sum of the least integer and the middle integer is 32 more than the greatest integer. I tried y

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Question 785302: I need help on this word problem: Find three consecutive even integers such that the sum of the least integer and the middle integer is 32 more than the greatest integer. I tried y+x=32+z...but that is as far as I got. I am horrible at math word problems. Thank you in advance.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Three consecutive, EVEN integers: 2n, 2n+2, 2n+4.
n is some whole number.

sum of the least integer and the middle integer is, %282n%29%2B%282n%2B2%29=somethingDescribedNext

32 more than the greatest integer, 32%2B%282n%2B4%29, which is the somethingDescribedNext.

Compose the full description: highlight%28%282n%29%2B%282n%2B2%29=32%2B%282n%2B4%29%29

Your trouble was that you tried to assign each unknown number to a different variable, instead of using the precise description of the numbers, being CONSECUTIVE EVEN numbers.

Now you just simplify and solve for n. From n, you compute each number.