The sum of two numbers is 35 and the difference is 15. What are the numbers? PLS answer ASAP

Answer 1

Call one of these numbers x and one of them y.

We know x+y = 35

We know x-y = 15

Add y to both sides of the second equation to get x=15 + y

Then plug this into the first equation as x --> (15 + y) + y = 35

This simplifies to 15+2y=35 by adding the y's.

We can subtract 15 from both sides to get 2y=35-15, which is 2y=20. Then divide both sides by 2 to get y=10. This is one of the numbers!

Then plug this back in to either equation above. I'll use the first equation that is x + y = 35. y=10, so x+10=35. subtract 10 from both sides to get x=35-10, so x=25.

So your two numbers are 10 and 25.

Answer 2

If you consider two numbers. as X and Y

the sum will be X+Y=35 and difference will be X-Y=15

Now lets sum up from both sides of equivalent sign (=)

You will have 2X=50 and X=25. If you plug in X in either equations, Y will become equal to 10.

Another way to think is find X or Y from one equation and plug it into other one.

For instance: We had X+Y=35 , so X= 35-Y and lets plug this X in X-Y=15 equation.. so 35-Y-Y=15 and 35-15=2Y or 20=2Y so Y=10

we had X-Y=15 and we found Y=10 therefor X=15+10 or X=25