Fifty percent of a number is 30 less than three-fourth of the same number. Find the number.

Question: Fifty percent of a number is 30 less than three-fourth of the same number. Find the number.Solution:Let, the number = x.ATQ,50% of x = (3/4) of x - 30⇒ 50x/100 = (3x/4) - 30⇒ x/2 = (3x/4) - 30⇒ (3x/4) - (x/2) = 30⇒ (3x - 2x)/4 = 30⇒ x/4 = 30∴ x = 120So, the number is 120.