Question

Q6: The denominator of
rational number is greater than
its numerator by 5. If the
numerator is increased by 11,
and the denominator is
decreased by 14, the new
number becomes 5. Find the
original number
Your answer
7.215 of total number of​

Answer 1

Answer:

Original number = 14/19 = 0.736

Step-by-step explanation:

Original number:

numerator = x and denominator = x + 5

New number:

numerator = x + 11

denominator = x + 5 - 14 = x - 9

Now

(x + 11) / (x - 9 ) = 5

∴ x + 11 = 5x - 45

∴ 56 = 4x

∴ x = 14

Original number = x / x+5 = 14/19 = 0.736