SOLUTION: There are two numbers whose sum is 100. If 5 is subtracted from each number, the larger number will be twice the smaller. What are the two numbers?

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Question 296147: There are two numbers whose sum is 100. If 5 is subtracted from each number, the larger number will be twice the smaller. What are the two numbers?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
There are two numbers whose sum is 100. If 5 is subtracted from each number, the larger number will be twice the smaller. What are the two numbers?
let one number be x
the other number will be 100-x
5 subtracted from both the numbers
x-5 and 100-x -5
2(x-5) = 95-x
2x-10 =95-x
2x+x =95+10
3x=105
x=35
the other number will be 100-35 = 65