Question

5. The denominator of a rational number is three less than the numerator, if the
numerator is doubled and the denominator is increased by 15, the new number
obtained is 4/5. Find the original rational number.​

Answer 1

Let the numerator of the rational number be x.

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

According to the given condition,

New numerator =3x and new denominator =(x+3)+20=x+23

Given,

x+23

3x

=

8

1

By cross multiplying, we get

8(3x)=x+23

⇒24x=x+23

⇒23x=23 ....[On Transposing]

or x=1

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

Hence, the original rational number is

4

1

.

Answer 2

Answer:

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