Question

Sum of two numbers is 72. If one number is decreased by 15% and other number is increased by 19% then the numbers obtained are equal. Find the smallest of the two numbers.
1. 56
2. 30
3. 36
4. 42

Answer 1

Correct Answer - Option 2 : 30

Given:

Sum of two numbers is 72.

Calculation:

Let the two numbers be A and B such that A is greater than B

A decreased by 15% and B is increased by 19%.

According to statement, A × (85/100) = B × (119/100)

⇒ A × 5 = B × 7

⇒ A/B = 7/5

Let A be7x and B be 5x

Now, Sum = A + B = 7x + 5x = 12x = 72

⇒ x = 6

Smallest of the two numbers = B = 5x = 5 × 6 = 30 

∴ Smaller number is 30