The ratio of two numbers is 16 : 23. If the difference between the numbers is 224, what is the smaller number?

Correct option is D

Given:
Ratio of two numbers = 16 : 23
Difference between the numbers = 224
Solution:
Let the numbers be 16k and 23k.
Difference = 23k − 16k = 224
7k = 224
k = 224 ÷ 7 = 32
Smaller number = 16k
= 16 × 32
= 512