The numerator of a rational number is less than the denominator by 8 if the denominator decrease by 1 and numerator is increased by 17 than the number obtained is 3 upon 2 find the rational number
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1
numerator-x, denominator-y
x+8=y
x+17/y-1=3/2
put val of x in eq 2
y=5 now lut back in eq u shall get x
x+8=y
x+17/y-1=3/2
put val of x in eq 2
y=5 now lut back in eq u shall get x
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Answered by
2
Let the denominator be x
According to question
(x-8) + 17/x-1 = 3/2
x +9/ x-1 = 3/2
2(x+9) = 3(x-1)
2x + 18 = 3x - 3
18 - 3 = 3x - 2x
x=15
rational no. = x-8 / x
=15-8/15
= 7/15 Ans
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