Question

the sum of numerator and denominator of a fraction is 18 if the denominator is increased by 2 ,the fraction reduces to 1 upon 3 Find the fraction​

Answer 1

HEYA:-

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Let x/y be a no.

Now,

x+y= 18_________(1)

x/y+2 =1/3

3x=y+2

x=(y+2)/3

putting in eq 1

x+y=18

(y+2)/3+y=18

(y+2+3y= 18×3

4y+2 =54

4y=54-2

4y= 52

y= 52/4

y= 13

putting valur of y in eq 1

x+y=18

x+ 13=18

x= 18- 13

x= 5

Required fraction = x/ y = 5/13

hope_it_helps

Answer 2

Step-by-step explanation:

Let the numerator br x and denominator be y

According to question

x + y = 18

x = 18- y

x/y+2 = 1/3

18-y /y+2 = 1/3

(18-y )3 = y+2

54 - 3y = y+2

52 = 4y

y = 13

x = 18 -13

x = 5

Therefore , the fraction is ---

✴ 5/13 ✴

✌✌ Hope this helps