Question

The denominator of the rational number by 8 if the numerator is increased by 17 and the denominator is decreased by 1 the number obtained is 3/2 find the rational number​

Answer 1

hey mate here is your answer

let, numerator of rational number be "x"

there fore , denominator will be x+8

The rational number will be in the form of

p/q = x/x+8

as per the question

x+17/x+8-1 = 3/2

x+17 /x+7 = 3/2

now do cross multiplication

then we get

2x+34=3x+21

2x-3x = 21-34

-x=-13

x= 13

numerator = x=13

denominator =x+8=21

so, the rational number is 13/21

hope it helps you

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