Question

9. 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

Please answer this question
The correct ans in the textbook is 14 by 9
​

Answer 1

Answer:

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Step-by-step explanation:

ATQ, when the numerator is increased by 11 and the denominator is decreased by 14, then the number becomes 5. therefore, numerator = x = 14.

Answer 2

$\huge\orange{Question:}$

9. 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

$\huge\pink{Answer:}$

let the numerator= x

so,denominator= x+4

number=x/x+4

according to Question,

$x + 11 \div x + 4 - 1 = 7 \div 3$

= > 3(x+11)=7(x+3)

=> 4x = 12

=> x= 3

Hence the original number = 3/7

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