SOLUTION: two numbers are in the ratio of two to seven, and their difference is sixty. find the numbers. thank you so much!

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Question 836238: two numbers are in the ratio of two to seven, and their difference is sixty. find the numbers.
thank you so much!
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
x = first number
y = second number x/y = 2/7
x - y = 60
add y to each side
x = y + 60
substitute (y + 60) for x in x/y = 2/7
y%2F%28y+%2B+60%29+=+2%2F7
do cross products
7y = 2(y+60)
7y = 2y + 120
add -2y to each side
5y = 120
y = 24
since x = y + 60
x = 24 + 60
x = 84
Since 24/84 = 2/7 we check out.