Q. 224.3( 6 Votes )
Find a fraction which becomes 
when 1 is subtracted from the numerator and 2 is added to the denominator, and the fraction becomes 
when 7 is subtracted from the numerator and 2 is subtracted from the denominator.
Answer :
Let the fraction be x/y.
According to question -
On Cross multiplying, we get -
⇒ 2x - 2 = y + 2
⇒ 2x - y = 4.....(1)
and,
On Cross multiplying, we get -
3x - 21 = y - 2
⇒ 3x - y = 19.....(2)
Subtracting equation (1) from equation (2), we get -
⇒ x = 15
Substituting the value of x in equation (1), we get -
y = 26
Thus, the required fraction is 15/26.
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PREVIOUSThe denominator of a fraction is greater than its numerator by 11. If 8 is added to both its numerator and denominator, it becomes Find the fraction.NEXTThe sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2 : 3. Determine the fraction.
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