Question

A fraction reduce to 1/4when 2is subtracted from numerator and 3is added to dinomenator but it reduce 2/3if 6is added to numerator and denominator is multiplied by 3 find the fraction​

Answer 1

Answer:

Numerator = 4

Denominator = 5

So, Fraction = 4/5

Step-by-step explanation:

By Initial Consideration,

Numerator = x

Denominator = y

According to Condition,

x - 2/y + 3 = ¼

4 (x - 2) = 1 (y + 3)

4x - 8 = y + 3

4x - y = 3 + 8

4x - y = 11 → (1)

x + 6/3y = ⅔

3 (x + 6) = 2 (3y)

3x + 18 = 6y

3x - 6y = -18

[Divide the ↑ Above Equation ↑ by 3]

x - 2y = -6 → (2)

From (2)

x = -6 + 2y

x = 2y - 6 → (3)

Substitute value of (3) in (1)

4x - y = 11

4 (2y - 6) - y = 11

8y - 24 - y = 11

8y - y = 11 + 24

7y = 35

y = 35/7

y = 5

Substitute value of y in (3)

x = 2y - 6

= 2(5) - 6

= 10 - 6

x = 4

So, Numerator (x) = 4

Denominator (y) = 5

Fraction (x/y) = 4/5