Asked by Mary

Three whole numbers, when added two at a time, have sums of 763, 1003,
and 1064. Compute the largest of the original three numbers.

I have no idea how to do this..HELP PLEASE?

Answers

Answered by MathMate
Let A,B,C be three numbers, where
A>B>C.

The two larger numbers, A & B, must add up to 1064, or A+B=1064.

The two smaller numbers, B & C, must add up to 763, or B+C=763.

so A+C=1003.

Now you have three equations, can you solve for the three unknowns?
Answered by Mary
Yes i can.
THe answer is 652.
Thanks.
Answered by MathMate
Perfect! The other two are 412 and 351.
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