The number 55 is attached to a two-digit number to its left and the formed 4-digit number is divisible by 24. What could be the 2-digit number? List all options.

Given:

The number 55 is attached to a two-digit number to its left and the formed 4-digit number is divisible by 24.

To find:

The 2-digit numbers.

Solution:

Let the two digit number be . Then the 4 digit number will be .

We know that the number lies in the range 5500 to 5599.

Now,

It means, is divisible by 24. So, the numbers lie in the range 5500 to 5599 and divisible by 24 are:

Therefore, the possible 2-digit numbers are 20, 44, 68, 92.