Question

The denominator of a rational number is greater than its numerator by 6. If the numerator is increased by 19 and the denominator is decreased by 1, the number obtained is 5 3 . Find the rational number.​

Answer 1

Answer:

Let Numerator be x

Let Denominator be x+6

So, the number will be x/x+6

A/Q

New Numerator will be x+19

New Denominator will be x+5

question says that

x+19/x+5 = 5/3

5(x+5) = 3(x+19)

5x+25 = 3x+57

5x-3x = 57-25

2x = 32

x = 32/2

x = 16

Now,

numerator is 16

denominator is 22

Therefore the rational number will be 16/22

Explanation:

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