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

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) (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
:
Taking square of this fraction we get a new fraction.
n^2/d^2
:
The difference between the denominator and numerator of the new fraction is 40.
d^2 - n^2 = 40
:
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
:
8n = 40 - 16
:
8n = 24
n =
n = 3
then
d = 3 + 4
d = 7
:
is the fraction
:
:
Check:
9/49 is the new fraction, difference of 40
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