Question

The number of a rational number is less than its denominator by 3. If the numerator becomes three times and the denominator is increased by 20, the new number becomes find the original number. 81​

Answer 1

Answer:

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Answer 2

Answer:

It is not 81 it's 1/8

Step-by-step explanation:

Let the numerator of a rational number be x.

Then, the denominator of a rational number = x + 3

According to the given condition, new numerator = 3x and new denominator = (x + 3) + 20 = x + 23

Given, 3x / x + 23 = 1/8

By, cross multiplying we get

8(3x) = x + 23

=> 24x = x + 23

=> 23x = 23

=> x = 1

Therefore, numerator of the rational number = 1 and denominator = 1 + 3 = 4

Hence, the original rational number is 1/4.