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April 18, 2015

April 18, 2015

Posted by **jo** on Monday, May 7, 2012 at 7:52pm.

- algebra -
**Reiny**, Monday, May 7, 2012 at 8:07pmlet the first integer be x

then the second even integer is x+2

x(x+2) = 7(x + x+2) - 34

x^2 + 2x = 14x + 14 - 34

x^2 - 12x + 20 = 0

(x-10)(x-2) = 0

x = 10 or x = 2

the numbers are 10 and 12 or the numbers are 2 and 4

check:

case 1: numbers are 10 and 12

product = 120

7 times their sum = 154

is 120 less than 154 by 34 ? YES

case 2: numbers are 2 and 4

product = 8

7 times their sum = 42

is 8 less than 42 by 34 ? YES!

So we have two answers:

the integers could be 10 and 12

or

the integers could be 2 and 4

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