Question

The denominator of a rational number is greater than its numerator by 7.If the numerator is increased by 13 and denominator is decreased by 2 ,the number obtained is 4/3.Find the rational number

Answer 1

Answer:19/26

Step-by-step explaination:

let the numerator be x.

Then the number is x/x+7.

now if 13 is added to the numerator and 2 is subtracted from the denominator then the new number is x+13/x+5

this new number is equal to 4/3 so:

x+13/x+5=4/3

3(x+13)=4(x+5)

3x+39=4x-20

x=19.

Hence the number is 19/26.