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# The denominator of a fraction is bigger than its numerator by 3. If 3 is subtracted from the numerator, and 2 added to the denominator, the value of fraction we get is 1/5. Find the original fraction.

Answer :

Let the numerator be x.

Since, the denominator is bigger than numerator by 3

⇒ Denominator = x + 3

If 3 is subtracted from the numerator, it becomes = x-3

And, 2 added to the denominator, it becomes = (x + 3) + 2

It is given that :-

On cross multiplying, we get,

⇒ 5x – 15 = x + 5

⇒ 4x = 20

⇒ x = 5

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PREVIOUSThe numerator of a fraction is 3 less than its denominator. If the numerator is tripled and the denominator is increased by 2, the value of the fraction obtained is 1/2. What was the original fraction?NEXTSandeep has Rs 50 more than Gayatri. If, when each of them is given Rs 15, the ratio of the money they have becomes 3 : 1, how much money did Gayatri have to begin with?

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