Question

The denominator of a rational number is 1 greater than its numerator if the numerator is increased by 17 and the denominator is decreased by 1 the number become 27 find the rational number.​

Answer 1

Step-by-step explanation:

let the numerator of rational no be p

therefore denominator is p+1

now p+17/p+1-1 = 27

p + 17/p = 27

p + 17 = 27p

26p = 17

p= 17/26

therefore numerator is 17/26

and denominator is 17/26 +1 = 17+26/26 = 43/26

now rational no is 17/26 ×26/43 = 17/43