Two numbers add up to 1.53. Both of the numbers are less than 1. One of them has 1 decimal place and the other has 2 decimal places. What is the largest possible difference between the two numbers?
Since both numbers must be less than 1, the number that has 2 decimal places must be as high as possible.

The highest number in 2 decimal places that is less than 1 is 0.99.

If the number in 2 decimal places is 0.99, the other number
= 1.53 - 0.99
= 0.54

However, the other number cannot be 0.54 because it has to have 1 decimal place instead of 2 decimal places.

If the other number that has 1 decimal place is 0.5, the number that has 2 decimal places
= 1.53 - 0.5
= 1.03 

However, 1.03 is not less than 1 as it cannot be the other number.

If the other number that has 1 decimal place is 0.6, the number that has 2 decimal places
= 1.53 - 0.6 
= 0.93

0.93 is less than 1 and has 2 decimal places.

Number that has 2 decimal places = 0.93
Number that has 1 decimal place = 0.6

Greatest difference between the two numbers
= 0.93 - 0.6
= 0.33

Answer(s): 0.33