The denomination of a ration number 8 more than the numerator if 17 is added to numerator and 1 is subtracted from denomination, the we get 3/5, find the ration number
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Step-by-step explanation:
Let x, y be the numerator and denominator.
Then y - x = 8 .......(1)
( x+17)/(y-1) = 3/5 ........(2)
From (1) y = x+8. Putting this value in (2), we get
(x+17)/(x+8-1) = 3/5
or (x+17)/(x+7) = 3/5
By cross multiplication, we get
5(x+17) = 3(x+7)
or 5x + 85 = 3x + 21
or 5x - 3x = -85 + 21
or 2x = -64
or x = -64/2
x = -32
Putting value of x in (1) we get
y - (-32) = 8
or y = -32+8
y = -24
Hence the number is -32/(-24)
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