Question

The denominator of a rational number is greater than its numeracy by 8. If the numerator is increased by 17 and the denominator id decreased by 1, the number obtained is 3/2, Find the rational number.

Answer 1

Answer:

Step-by-step explanation:

let the numerator x----- (1)

if denominator is increased by 8 then,

denominator = x+8----(2)

if numerator is increased by 17 then,

numerator = x+17    (from 1)-----(3)

now, denominator is decreased by 1 then,

denominator = x+8-1 = x+7---(4)

from eq. 3 and 4

we have,

x+17 / x+7 = 3/2

on solving we get

3x + 21 = 2x + 34 = 3/2

x = 13

from 1 and 2

numerator = 13

denominator = 13 + 8 =21

rational no = 13/21

hope it will help you  :-)

Answer 2

Answer:

13/21

Step-by-step explanation:

1. Numerator = x
2. Denominator = x+ 8

x/x+8

• If the numerator is increased by 17

x + 17

• The denominator is decreased by 1

x + 8 - 1

x+17/x+7 = 3/2

• Cross multiplication used now

3(x + 7) = 2(x + 17)

3x + 21 = 2x + 34

3x - 2x = 34 - 21

x = 13

x/x + 8 = 13/13 + 8

13/21