Question

Question 1:  
The ratio of the numerator and the denominator of a rational number is 3:4. if 4 is added to the numerator and 6 is subtracted from the denominator, then the rational number becomes 8/5. Then original rational number is
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Answer 1

Step-by-step explanation:

3x+4/4x-6=8/5

5(3x+4)=8(4x-6)

15x+20=32x-48

20+48=32x-15x

68=17x

x=4

16/10 is answer

Answer 2

Step-by-step explanation:

Let the numerator be 3x and denominator be 4y.

Therefore number = 3x/4y.

According to question,

4 is added to numerator and 6 is subtracted from the denominator it becomes 8/5.

(3x + 4) / (4y - 6) = 8/5

By cross multiplying,

5(3x + 4) = 8(4y - 6)

15x + 20 = 32y - 48

15x + 20 - 32y + 48 = 0

15x - 32y + 68 = 0