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Easy question
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If 5 is added to both the numerator and the denominator of a certain fraction, the result is 4/7. If 1 is subtracted from both the numerator and the denominator, the result is 2/5. Find the fraction!!!

Respuesta :

amna04352

Answer:

7/16

Step-by-step explanation:

Let the fraction be x/y

(x+5)/(y+5) = 4/7

7x + 35 = 4y + 20

7x + 15 = 4y

(x-1)/(y-1) = 2/5

5x - 5 = 2y - 2

2y = 5x - 3

7x + 15 = 2(5x - 3)

7x + 15 = 10x - 6

3x = 21

x = 7

2y = 5(7) - 3

2y = 32

y = 16

x/y = 7/16

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