Question

Q:- "In the rational number, the numerator is 3 less thanthe denominator. When 2 is subtracted from both the numerator and denominator, the rational number in its simplest form is 5/6. What is the rational number?"



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Answer 1

Let the denominator be x.

Thus, numerator will be x−3.

As per the question, we have

numerator is 3 times i.e., 3(x−3) and denominator is increased by 20 i.e., x+20.

The new number thus formed is

8

1

.

Therefore,

x+20

3(x−3)

=

8

1

⇒24(x−3)=1(x+20)

⇒24x−72=x+20

⇒23x=92

⇒x=4

Denominator is 4.

Thus, numerator is x−3=4−3=1

Therefore, the fraction is

4

1

Answer 2

Answer:

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