Question

The denominator of a rational number is greater than its numerator by 5. If the numerator
is increased by 11 and the denominator is decreased by 14, the new number becomes 5.
Find the original rational number.
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Answer 1

Answer:

here is your answer please add this in brainliest if you want

Answer 2

let the d = x

:. x / x+5

if n inc. by 11, d dec. by 14

then.... x+11 / x+5-14

acc to ques. = x+11 / x+5-14 = 5

:. x+11 / x-9 = 5

:. x+11 = 5(x-9)

:. x+11 = 5x - 45

:. 11+45 = 5x-x

:. 56 = 4x

:. 56/4 (then we do cancellation by 2)

= 28/2 = 14/1 = 14

:. x = 14

so, n = 14

d = x+5 = 14+5 = 19

:. orig no. = 14/19

Checking...

14/19

= 14/19+5

= 14/24

= 14+11/24-14

= 25/10 (then, cancellation by 2)

= 5/2

=5 (by cancelling off 2)

and there you have your answer :D