Posted by **lucia** on Wednesday, June 13, 2012 at 11:53pm.

The sum of two number is 40.Two times the smaller number exceeds the larger number by 38.Find the number

- algebra -
**Reiny**, Thursday, June 14, 2012 at 7:14am
let the smaller be x

then the larger is 40-x

"Two times the smaller number exceeds the larger number by 38"

---> 2x > (40-x) by 38

2x = 40-x + 38

3x = 78

x = 26

the smaller is 26

the larger is 14

contradiction!

Your wording should have been

"Two times the larger number exceedss the smaller number by 38

then

2(40-x) - x = 38

80 - 2x-x = 38

-3x = -42

x = 14

the smaller is 14, the larger is 26

check:

2(26) = 52

does 52 exceed 14 by 38 ? YES

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