SOLUTION: One number is twice another number. If the larger is decreased by 12, the result is 7 more than the smaller. Find both numbers.

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Question 297380: One number is twice another number. If the larger is decreased by 12, the result is 7 more than the smaller. Find both numbers.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One number is twice another number.
y = 2x
:
If the larger is decreased by 12, the result is 7 more than the smaller.
y - 12 = x + 7
:
y = x + 7 + 12
:
y = x + 19
Replace y with 2x
2x = x + 19
:
2x - x = 19
:
x = 19
then
y = 2(19)
y = 38