The difference between two positive numbers is 16. If the smaller of these two numbers is 3/5 of the larger, what is the value of the smaller number?
A
18
B
24
C
30
D
33
Correct Answer: 24
Let the larger and smaller numbers be X and 3X/5 respectively. Then, X - 3X/5 = 16 or, (5X - 3X)/5 = 16 or, 2X = 80 or, X = 40 So, the smaller number, 3X/5 = 3×40/5 = 24