SOLUTION: the sum of two number is 105. one of the numbers decreased by 20 is equal to the other decreased by 15. find the numbers

Question 18357: the sum of two number is 105. one of the numbers decreased by 20 is equal to the other decreased by 15. find the numbers
Answer by piglet162431(90) (Show Source): You can put this solution on YOUR website!
I came up with 50 and 55.
First, write an equation for it.(They ALWAYS is better than guessing)
let n be one of the numbers
Since, if you subtract one number by 20= other by 15, it's obviously telling us that the difference between the two numbers is 5.
So: (n)+(n-5)=105
Simplify: 2n-5= 105
2n=110
n=55
110-55= 50
The two numbers are 50, and 55
If you check, they'll work.
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