Question

in a postive fraction , the denominator is greater than the numerator by 3 . If 1 is subtracted from both the numerator and the denominator then the fraction is decreased by 1/14 . Find the fraction

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Answer 1

Numererator= X

Denominator= Y

3x= y----------(1)

X-1/Y-1= 1/14

14x-14= 1y-1

14x-1y= -1+14

14x-y= 13----------(2)

Multiply by 1, in eq-----(1)

By cross multiplication method

3x - y= 1

14x - y= 13

- + -

__________________

-11x 0 = -12

Minus(-) se Minus(-) cancel ❌ ho jaega.

x= 12/11

Put the value of x= 12/11, in eq---------(1)

3x = y

3(12/11)= y

36/11 = y

The value of X= 12/11 and Y= 36/11.