Saturday, March 8, 2008

Number Problem 2 Solution

Even numbers are 2, 6, 12, 18, etc- consecutive means one right after the other 1,2,3,4-- so consecutive even means 6,8,10,12, etc ...

So, the 1st number would be x, the 2nd number x + 2, and the 3rd number would be (x + 2) + 2 or x + 4 . The problem states when these 3 numbers are added together they equal 138.

We then have x + x + 2 + x + 4 = 138 which makes
3x + 6 = 138 which makes
3x = 132
which makes x = 132/3
which is x = 44

Substituting back in we have 44 + 44 + 2 + 44 + 4 = 138 and that equals
44 + 46 + 48 = 138 so 138 = 138

The 3 consecutive even numbers when added together that equal 138 are 44, 46, 48

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