Question

The sum of two numbers is 327. One of them is a 3-digit even number and the other is a 2-digit odd number. What is the largest possible difference between the two numbers?​

Answer 1

305

Explanation:

let the numbers be x and y

let x be the 3 digit even number

let y be the 2 digit odd number

x+y = 327

According to the above sum, x will range from all even numbers between 300 to 316 if to be added to a 2 digit odd number y

y will range from all odd numbers between 11 to 27 if to be added to be added to a 3 digit even number x

To find the largest possible difference, we subtract 11 from 316

This will give us 305 which is the answer.