The numerator of a fraction is 2 less than the denominator. If 3 is added to both the numerator the fraction becomes 34. Find the fraction.
Share
The numerator of a fraction is 2 less than the denominator. If 3 is added to both the numerator the fraction becomes 34. Find the fraction.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
167/101
Step-by-step explanation:
Let the denominator of the fraction be 'x'.
The required fraction is (x-2)/x
To this fraction, if 3 is added to both numerator and denominator, the fraction is:
(x-2+3)/(x+3) = 34
(x+1)/(x+3)=34
x+1=(x+3)*34
x+1=34x+102
34x-x=1-102
33x=-101
x=-101/33
∴ The fraction is:
(-101/33)-2/-101/33
(-167/33) / (-101/33)
167/101 is the required fraction.