SOLUTION: when 3 is added to both the numerator and the denominator of a certain fraction, its value is decreased by 9/40. however, when 3 is subtracted from both, its value is increased by

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Question 1037216: when 3 is added to both the numerator and the denominator of a certain fraction, its value is decreased by 9/40. however, when 3 is subtracted from both, its value is increased by 9/10. find the denominator of the original fraction
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Original Number, n%2Fd.

system%28n%2Fd-%28n%2B3%29%2F%28d%2B3%29=9%2F40%2C%28n-3%29%2F%28d-3%29-n%2Fd=9%2F10%29

Study how the system makes sense according to the description. The two equations come from reading and translating what was read.

Can you solve the system without further help?

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

when 3 is added to both the numerator and the denominator of a certain fraction, its value is decreased by 9/40. however, when 3 is subtracted from both, its value is increased by 9/10. find the denominator of the original fraction
Denominator: highlight_green%285%29