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December 26, 2014

December 26, 2014

Posted by **Bina** on Saturday, October 15, 2011 at 7:36pm.

the problem is: find five consecutive odd integers such that the sum of the first and the fith is one less than three times the fourth.

What kind of equation would work for that?

- math-a-matic -
**Reiny**, Saturday, October 15, 2011 at 8:08pm5 consecutive odd integers:

x, x+2, x+4, x+6, x+8

sum of 1st and 5th < 3 times the fourth by 1

x + (x+8) +1 = 3(x+6)

2x + 9 = 3x + 18

-x = 9

x = -9

so the numbers are

-9, -7, -5, -3, -1

check:

sum of 1st and 5th = -9 + (-1) = -10

3 times the 4th = 3(-3) = -9

sure enough: -10 is one less than -9

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