SOLUTION: The difference of two numbers is 13, Five times the smaller number is one more than double the larger number. Find the two numbers.

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Question 399352: The difference of two numbers is 13, Five times the smaller number is one more than double the larger number. Find the two numbers.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the numbers be x & y
x-y =13..........1
5y=2x+1
5y-2x=1............2
multiply (1) by 2
2x-2y=26
add to (2)
3y=27
y=9
..
x-y=13
x-9=13
x=22
...
the numbers are 22,9