Question

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.

Answer 1

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
`ab`. Then the 4 digit number will be
`55ab`.

We know that the number
`55ab` lies in the range 5500 to 5599.

Now,

`5500=229* 24+4`

It means,
`5500-4=5496` is divisible by 24. So, the numbers lie in the range 5500 to 5599 and divisible by 24 are:

`5496+24=5520`

`5520+24=5544`

`5544+24=5568`

`5568+24=5592`

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