SOLUTION: The difference between two numbers is 8, if 2 be added to the greater the result will be 3 times the smaller. find the numbers

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Question 980518: The difference between two numbers is 8, if 2 be added to the greater the result will be 3 times the smaller. find the numbers
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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x=larger number; y=smaller number
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x-y=8
x=y+8 Use this to substitute for x.
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x+2=3y Substitute for x from above.
(y+8)+2=3y
y+10=3y Subtract y from each side.
10=2y Divide each side by 2.
5=y ANSWER 1: the smaller number is 5.
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x=y+8=5+8=13 ANSWER 2: The larger number is 13.
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CHECK:
x+2=3y
13+2=3(5)
15=15