Question

the denominator of a rational number is greater than its numerator by 3. if the numerator is increased by 7 and the denominator is decreased by 1, the new number becomes 3/2. find the original number
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Answer 1

Answer:

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Step-by-step explanation:

so I the required fraction be x/y

wherein x be its numerator and y be its denominator

so according to first condition

y=x+3 (1)

according to the second condition

x+7/y-1=3/2

ie 2(x+7)=3(y-1)

ie 2x+14=3y-3

so 3y=2x+17 (2)

substitute value of y from (1) in (2)

we get

3(x+3)=2x+17

so 3x+9=2x+17

so thus x=8

substitute value of x in any of two equations

we get y=11

so our required fraction=x/y

=8/11

hence our required number is 8/11