Question

find the fraction which becomes 2 by 3 when numerator is increased by 2 and equal to 4 by 7 when the denominator is increased by 4
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Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Given :-

Fraction becomes 2 by 3 when numerator is increased by 2 and equal to 4 by 7 when the denominator is increased by 4.

To Find :-

The Fraction.

Solution :-

Let the fraction be x/y respectively.

As per the Question,

Numerator is increased by 2

⇒ (x + 2)/y = 2/3

⇒ 3x + 6 = 2y

⇒ y = (3x + 6)/2 ......(i)

Denominator is increased by 4

⇒ x/(y + 4) = 4/7

⇒ 7x = 4y + 16 ........(ii)

Substituting y value in eq (ii)

⇒ 7x = 4 (3x + 6)/2 + 16

⇒ 7x = 2 (3x + 6) + 16

⇒ 7x = 6x + 12 + 16

⇒ x = 28

Putting x value in eq (i)

⇒ y = (3 × 28 + 6)/2

⇒ y = 90 / 2

⇒ y = 45

Hence The Required Fraction is 28/45.