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?

Step-by-step explanation:

Let the number be aba as it is a palindrome

It divisible by 18, so it is an even number with sum of digits divisible to 9

It is one less than a multiple of 5:

Multiple of 5 will end with 0 or 5, it has to be 5 as a is even, then:

The number 4b4 is divisible by 9 only if b = 1:

So the number is:

Lets verify:

9 x 8 divided by (5-3)=36

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)