Question

Find the rational number.
1. In a rational number, twice the numerator is 2 more than the denominator. If 3 is
added to each, the numerator and the denominator, the new fraction is 2/3. Find the
original number.
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Answer 1

Step-by-step explanation:

Let the numerator be x and denominator be y.

According to question:

2x=2+y

2x-y=2----(1)

x+3/y+3=2/3

3(x+3)=2(y+3)

3x+9=2y+6

3x-2y=6-9=-3----(2)

multiply equation (1) with 2,

4x-2y=4----(3)

Through elimination method of (2) and (3):

4x-2y-(3x-2y)=4+3

4x-3x-2y+2y=7

x=7-----(4)

Substitute (4) in (1).

2(7)-y=2

14-y=2

14-2=y

12=y.

Therefore, the fraction is 7/12.

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Answer 2

Answer:

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