the denominator of a ratiinal number is greater than its numerator by 7. if the numerator is increased by 13 and denominator is decreased by 2 , rh number obtauned is 4/3. find the rational number
Answers
Correct 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 original rational number.
Answer
Let the numerator of the fraction be y.
Let the denominator of the fraction be y + 7.
So, the fraction becomes
According to the question,
The numerator is increased by 13 and the denominator is decreased by 2.
So, the fraction becomes
We have also given with a fraction that will occur to us when some of the numbers will be removed or added to numerator and denominator. That fraction is,
Numerator of the fraction :
Now, as we know that
Cross multiply the numbers.
Now, we should work-out for the denominator of the fraction.
Denominator of the fraction :
So, the original fraction becomes
Hence, the original fraction is .