Question

The denominator of a rational number is 4 more
than the numerator. If 2 is added to the retor
and 3 is added to denominator then the new
number becomes 3/4. Find the original no
​

Answer 1

Answer:

Let the numerator of the rational number be x.

Then, the denominator of the rational number =x+4

It is given that the numerator is increased by 2 and the denominator is increased by 3 to get the new rational number

4

3

.

According to the given condition,

(x+4)+3

x+2

=

4

3

By cross multiplying, we get

4(x+2)=3(x+7)

⟹4x+8=3x+21

⟹4x−3x=21−8 ....[Transposing 3x to LHS and 8 to RHS]

or x=13

Therefore, numerator of the rational number =13 and denominator =13+4=17.

Hence the original rational number is

17

13

hope this is helpful

Answer 2

Step-by-step explanation:

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.

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