Question

The denominator of a rational number is greater than its numerator by 7 if 3 is subtracted from the numerator and 2is added to its denominator the new number become 1/5. Find the rati
onal number

Answer 1

Hey mate!

Here is your answer > >

Let the numerator be x

Then the denominator=x+7

Rational number= x/x+7

According to question

(x-3)/(x+7+2)=1/5

(x-3)/(x+9)=1/5

(x-3)×5=x+9

5x-15=x+9

4x=24

x=6

=> Numerator=x=6

Denominator=x+7=6+7=13

Rational number=6/13

Hope it helps!

Thankyou ☆ ☆