Question

Kayla is thinking of a 3-digit number.

* It is divisible by 18.

* It is a palindrome (It reads the same left-to-right as it does right-to-left, like 252 and 848).

* It is one less than a multiple of 5.

What is Kayla’s number?

Answer 1

414

Explanation:

The last digit must be 4 or 9 since it is one less than a multiple of five. Then, it says the number must be divisible by 18, and 18 = 2x9. Only 4 is divisible by 2, so four must be the last digit. Since it's a palindrome, the first digit must also be four. Since it also has to be divisible by nine, 4 + 4 = 8, and 8 + 1 = 9.

Answer 2

kaylas thinking of the number 414

Explanation:

414 is divisable by 18 (414 divided by 23)

414 is palindrome

414 is one less than a multiple of 5 (415)