Question

Answer this question.​

Answer 1

Required Answer:-

Given:

• The numerator of a fraction is 3 less than the denominator.
• If the numerator and denominator are increased by 2, the new fraction becomes 6/7

To find:

• The original fraction.

Solution:

➡ Let the numerator be x.

Therefore,

Denominator will be,

= x + 3

Therefore,

➡ Original fraction = x/(x + 3)

New fraction,

= (x + 2)/((x + 3) + 2) [numerator and denominator are increased by 2]

= (x + 2)/(x + 5)

Now, according to the given condition,

➡ (x + 2)/(x + 5) = 6/7

➡ 7(x + 2) = 6(x + 5)

➡ 7x + 14 = 6x + 30

➡ 7x - 6x = 30 - 14

➡ x = 16

Therefore,

➡ Numerator = 16

➡ Denominator = 16 + 3 = 19

Therefore, the original fraction will be,

= 16/19

Answer:

• The original fraction is 16/19.

Answer 2

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