80% of a smaller number is 4 less than 40% of a larger number. The larger number is 85 greater than the smaller one. The sum of these two number is

Solution (By Examveda Team)

Let the smaller number be x and larger number be y
According to the question,
80% of x + 4 = 40% of y
4y - 8x = 40
y - 2x = 10 --------- (1)
y - x = 85 ----------- (2)
By using (1) and (2), we get
x = 75
y = 160
x + y = 235