Question

the denominator of a rational number is less than its numerator by 5. if 5 is added to the numerator the new number becomes 11/6. find the original rational number​

Answer 1

Answer:

Step-by-step explanation:

the numerator = x

the denominator = y

by the condition (1)

x = y-5

x - y = 5

by the condition (2)

fraction = x/y

x + 5 / y = 11/6

11y = 6x + 30

11y - 6x = 30

now solve

(1) x 6 = 6x - 6y = 5

(2) x 1 = -6x + 11y = 30

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                        5y = 35

                          y =7

now sub in (1)

x - 7 = 5

x =12