SOLUTION: The denominator of fraction is 4 more than its numenator . Taking square of this fraction we get a new fraction .The difference between the denominator and numenator of the new fra

Algebra ->  Equations -> SOLUTION: The denominator of fraction is 4 more than its numenator . Taking square of this fraction we get a new fraction .The difference between the denominator and numenator of the new fra      Log On


   

Question 191325: The denominator of fraction is 4 more than its numenator . Taking square of this fraction we get a new fraction .The difference between the denominator and numenator of the new fraction is 40. Find the fraction.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Just write what it says:
:
The denominator of fraction is 4 more than its numerator.
d = n + 4
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Taking square of this fraction we get a new fraction.
n^2/d^2
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The difference between the denominator and numerator of the new fraction is 40.
d^2 - n^2 = 40
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Find the fraction.
Substitute (n+4) for d in the above equation
(n+4)^2 - n^2 = 40
FOIL
n^2 + 8n + 16 - n^2 = 40
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8n = 40 - 16
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8n = 24
n = 24%2F8
n = 3
then
d = 3 + 4
d = 7
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3%2F7 is the fraction
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Check:
9/49 is the new fraction, difference of 40