Question

Find the
The denominator of a rational number is smaller than its numerator by 4. If the denominator is decreased by
5 and the numerator is increased by 6, the number obtained is 5/2 .Find the rational number​

Answer 1

Answer:

The Rational number is 19/15

Step-by-step explanation:

Let the numerator of the rational number be x.

∴ The denominator = x-4

The rational number = x/x-4

According to the question,

x+6 / x-4-5 = 5/2

x+6 / x-9 = 5/2

2(x+6) = 5(x-9)             [By cross multiplication]

2x+12 = 5x-45

45+12 = 5x-2x

57 = 3x

3x = 57

x = 57/3

x = 19

∴ The numerator of the rational number = 19

The denominator of the rational number = 19-4    or,15

The rational number = 19/15

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Answer 2

Answer:

Hope it helps you.....