Question

a fraction reduces by 4/5 when 2 is subtracted from the numerator and 3 is added the denominator but it reduces to 12/17 if 6 is added to numerator and the denomenetor is multiplied by 2 find the fraction

Answer 1

Answer:

Step-by-step explanation:

Given:

A fraction reduces by 4/5 when 2 is subtracted from the numerator and 3 is addded to the denominator.

But it reduces to 12/17 if 6 is added to the numerator and the denominator is multiplied by 2.

To find:

-----》》》 fraction?

Solution:

Let the fraction be x/y

From given, we have,

(x - 2)/(y + 3) = 4/5

⇒ 5x - 4y = 22 ......(1)

(x + 6)/(2y) = 12/17

⇒ 17x - 24y = -102 .....(2)

solving equations (1) and (2), we get,

x = 18 and y = 17

Therefore, the required fraction is 18/17

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