SOLUTION: five divided by the difference of a number and one equals the quotient of ten and the sum of the number and twelve.find the number

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Question 693406: five divided by the difference of a number and one equals the quotient of ten and the sum of the number and twelve.find the number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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five divided by the difference of a number and one equals the quotient of ten and the sum of the number and twelve.find the number
:
Write an equation for exactly what it says.
5%2F%28%28n-1%29%29 = 10%2F%28%28n%2B12%29%29
Cross multiply
10(n-1) = 5(n+12)
10n - 10 = 5n + 60
10n - 5n = 60 + 10
5n = 70
n = 70/5
n = 14