Posted by **kate** on Tuesday, December 14, 2010 at 3:34pm.

the sum of two decimal numbers is 3.9. their difference is 0.9, and their poduct is 3.6 what are these two numbers?

- math -
**MathMate**, Tuesday, December 14, 2010 at 6:47pm
The problem is over-defined, namely there are three conditions, but only two unknowns. It is possible that we don't have a solution if the conditions do not agree. We'll see.

Use the first two conditions to solve for x, y such that x+y=3.9, x-y=0.9, which gives x=2.4, y=1.5.

Now, multiply 2.4 by 1.5. If the product is 3.6, the solution is fine, if not, the problem is inconsistent.

Can you decide to which case the problem belongs?

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