Question

The sum of the numerator and denominator of a fraction is 14. If one is added to the numerator and 3 is subtracted from denominator

Answer 1

Answer: 16

Question: The sum of the numerator and denominator of a fraction is 14 if one is added to the numerator and 3 is subtracted from denominator.

Let x be the numerator of the fraction, and y be the denominator of the fraction.

(x + 1) + (y - 3) = 14

x + y - 2 = 14

x + y = 16

You can only find the sum of the numerator and denominator; it is 16.

Answer 2

Answer:

Let the numerator is x

Let the denominator is y

x+y=14

x+1=y-3

x-y=-3-1

x-y=-4

By elimination method

eq1 +eq2

x+y=14

x-y= - 4

2x=10

x=5

From eq 1

x+y=14

5+y=14

y=14-5

y=9

Numerator is 5

Denominator is 9