Question

Denominator of a rational number is 4 less than its numerator. If 11 is added to numerator and 1 is subtracted from denominator, then the new number becomes7/3. Find the rational number
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Answer 1

Answer:

Let the rational number be

y

x

Given, Denominator of rational number is 4 less than its numerator =>y=x−4=>x−y=4 --- (1)

Also, if 11is added to numerator and 1 is subtracted from denominator the new number, then number =

y−1

x+11

=

3

7

=>3x+33=7y−7

=>3x−7y=−40 --- (2)

Multiplying equation (1) with 3 we get, 3x−3y=12 ----- equation (3)

Subtracting equation (3)

from (2), we get 4y=52=>y=13

Substituting y=13 in the

equation (1), we get x=13=4=>x=17

Hence, the number is

13

17

Step-by-step explanation:

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