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

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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) About Me  (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.