Three numbers are in the ratio 2:3:5, and their sum is 100. Find the difference between the largest and smallest numbers.

Correct option is A

Given:
Ratio of three numbers = 2 : 3 : 5
Sum of the three numbers = 100
Formula Used:
Sum of the ratio parts = Total sum
Solution:
Let the three numbers be 2x, 3x, and 5x.
Sum of the numbers = 2x + 3x + 5x
10x = 100
x = $$\frac{100}{10}$$​​
x = 10
The smallest number = 2 × 10 = 20
The largest number = 5 × 10 = 50
Difference between the largest and smallest number = 50 - 20
Difference = 30
Final Answer
So the correct answer is (a)