Question

. A Fraction become 3/11, if 2 is added to both the numerator and the denominator. If 3 is
added to both the numerator and the denominator, it becomes t. Find the fraction.​

Answer 1

Step-by-step explanation:

Let the fraction be x/y.

(x+2)/(y+2) = 9/11, or

9y+18 = 11x+22

9y = 11x+4, or

45y = 55x+20 …(1)

(x+3)/(y+3) = 5/6, or

5y+15 = 6x+18, or

5y = 6x+3, or

45y = 54x+27 …(2)

Equate (1) and (2)

55x+20 = 54x+27

x = 7

Again, 9y = 11x+4, or

9y = 77 + 4 or

y = 81/9 = 9

The fraction is (7/9). Answer

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