Question

in a fraction the sum of numinator and denominator is 18. If denominator is increased by 2 then it will Be equal to 1 by 3. Find the numinator and denominator by doing elumination method

Answer 1

Answer:

Step-by-step explanation:

Let numerator = x , denominator = y

Sum = 18

x + y = 18 ------(1)

x/(y + 2) = 1/ 3

3x - y = 2------(2)

Add .eq.(1) and (2) , we get

4x = 20 => x = 5

From (1) y = 18 - x

y = 18 - 5 = 13

Numerator = 5, denominator = 13

Answer 2

Answer:

Let the numerator of the fraction be x

And the denominator of the fraction be y

Therefore the fraction is x/y

According to first condition:

x+y=18 - equation 1

According to second condition :

x/y+2=1/3

3x=y+2

3x-y=2 - equation 2

x + y = 18 - from equation 1

3x- y = 2 - from equation 2

Cancel positive and negative y

And add x and 3x and 18 an 2

4x=20

x=20/4

x=5

Therefore put x=5 in equation 1

Therefore x + y = 18

5 + y = 18

y = 18 -5

y=13

Therefore the fraction is 5/13.

Step-by-step explanation: