SOLUTION: The sum of two number is 50 and the difference is 10 find the number

Question 698330: The sum of two number is 50 and the difference is 10 find the number
Answer by neatmath(302) (Show Source): You can put this solution on YOUR website!

Let and be your variables.

We are given:

and

Intuitively, it doesn't matter which number is acutally bigger, x or y.

So we have a system of two equations with two variables. Perfect!

Now we just need to solve the system by using substitution or elimination.

Elimination is the easiest method in this case.

Just add the first equation to the second and you will eliminate the y variable.

So the two numbers are 20 and 30. Check this, it works.

I hope this helps! Keep practicing! :)

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