Posted by **kratika** on Thursday, June 14, 2012 at 6:47am.

The smallest of three consecutive integers is added to the largest, the result so obtained is 15 less than 4 times the middle integer. Find the integer.

- maths -
**Reiny**, Thursday, June 14, 2012 at 7:43am
smallest --- x

middle --- x+1

largest --- x+2

"smallest is added to the largest" ---> x+2 + x =2x+2

4 times the middle = 4(x+1) = 4x+4

2x+2 +15 = 4x+4

-2x = -13

x = 13/2

but x has to be an integer, so there is no solution to your problem

(notice that my solution does work if we let the 3 numbers be 6.5, 7.5, and 8.5

check:

add the first to the last: 6.5+8.5 = 15

4 times the middle: 4(7.5) = 30

is 15 less than 30 by 15 ? , YES )

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