SOLUTION: The difference between two numbers is 6. If you double both numbers, the sum is 36. Find the two numbers

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Question 410485: The difference between two numbers is 6. If you double both numbers, the sum is 36. Find the two numbers
Answer by rfadrogane(214) About Me  (Show Source):
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The difference between two numbers is 6. If you double both numbers, the sum is 36. Find the two numbers
Sol'n:
let x-the larger number
y-the smaller number
x-y=6 ---(1)
2x+2y=36 ---(2)
divide (2) by 2
x+y=18 ----(2')
add two equations:
x-y=6
x+y=18
------
2x=24
x=12
for y:from (1)
y=x-6
y=12-6
y=6

thus, x=12 & y=6 ---answer