Question

The numerator of fraction is 10 smaller than its denominatior . If 5 is added to both numerator and the fraction become 1/3 . find the fraction.​

Answer 1

Answer:

The fraction is 0/10, when we add 5 to numerator and denominator, the fraction becomes 5/15 which is 1/3

Step-by-step explanation:

Let the numerator be x, then denominator = x+10

If 5 is added, numerator = x+5, denominator = x+15

According to the question,

x+5/x+15 = 1/3

After cross multiplication,

3(x+5) = 1(x+15)

3x+15 = x+15

2x = 15 - 15 = 0

x = 0, the fraction was 0/10, when we add 5 to numerator and denominator, the fraction becomes 5/15 which is 1/3 .

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Answer 2

Answer:

Step-by-step explanation:

Let the denominator of fraction be x.

Then,  numerator of fraction will be x - 10.

when we add 5 on both numerator and denominator then

• [x-10]+5/x+5=4/9

• x-5/x+5 =4/9

• 9[x-5]=4[x+5]

• 9x-45=4x+20

• 9x-4x= 20+45

• 5x=65

• x=65/5

• x=13

substitute x value  in fraction

• [x-10]/x = [13-10]/13

            =3/13

so the fraction was  3/13