Posted by **Alysha** on Wednesday, May 6, 2009 at 4:25pm.

the sum of two numbers is 99, the difference of those two numbers is 9. what are the two numbers???

- MATH!!!!!! -
**Anonymous**, Wednesday, May 6, 2009 at 4:28pm
I believe 54 and 45 would work.

- MATH!!!!!! -
**Alysha**, Wednesday, May 6, 2009 at 4:30pm
yep it does ty...it was an easy problem i just didn't feel like solving it so thnx =]

- MATH!!!!!! -
**RickP**, Wednesday, May 6, 2009 at 6:26pm
But no work was shown. Was this just trial and error, or was math used?

"the sum of two numbers is 99"

x + y = 99

"the difference of those two numbers is 9."

x - y = 9

Solve one equation for either variable.

x - y = 9

x = y + 9

now substitute this value for x into the other equation.

x + y = 99

(y + 9) + y = 99

2y + 9 = 99

2y = 90

y = 45

Now substitute that numeric value for y into one of the original equations to find the numeric value of x.

x + y = 99

x + 45 = 99

x = 54

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