the demonstrator of rational number is greater than its numerator by 5. If numerator is increased by 11 and denominator is decreased by 14the new number becomes 5 .find the original number.
Answers
Answered by
3
Given that,
the denominator of a rational number is greater than it's numerator by 5.
let the numerator of the rational number be x.
therefore it's denominator = x + 5
ATQ,
when the numerator is increased by 11 and the denominator is decreased by 14, then the number becomes 5.
➡ (x + 11)/(x + 5 - 14) = 5
➡ (x + 11)/(x - 9) = 5
➡ x + 11 = 5(x - 9)
➡ x + 11 = 5x - 45
➡ x - 5x = -45 - 11
➡ -4x = -56
➡ x = -56/-4
➡ x = 14
therefore,
numerator = x = 14
denominator = x + 5 = 19
hence, the original number is 14/19.
Similar questions