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  • A fraction becomes  when 2 is subtracted from the numerator and it becomes <img alt="\frac{1}{2}" src="https://entrancecorner.codecogs.com

A fraction becomes \frac{1}{3} when 2 is subtracted from the numerator and it becomes \frac{1}{2} when 1 is subtracted from the denominator. Find the fraction.

 

 

Answers (1)

Lets assume the fraction be \frac{x}{y}.

According to the statements,

\frac{x-2}{y}= \frac{1}{3}

3(x-2)=y

3x-6=y

3x-y=6  ---(1)

and

\frac{x}{y-1}= \frac{1}{2}

2x=y-1

2x-y=-1 ---(2)

Subtracting equation 2 from equation1.

3x-2x-y+y=6+1     

x=7.

Putting the value of x in equation 1

3(7)-y=6

21-y=6

y=15

Posted by

Safeer PP

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