Kayla is thinking of a 3-digit number.It is divisible by 18.It is a palindrome like 252 and 848) *It is one less than a multiple of 5. What is Kayla's number?

Answer 1

414 is Kayla's number, or also 999

414/18 = 23

5(83) - 1 = 415-1 = 414X

try 1X1, 2X2, 3X3, 4X4, etc.

X has to make the digits add to 9 or a multiple of 9, 18

171 isn't divisible by 18

252 = 18 x 14, but the last digit has to end in either 4 or 9 since it's a number 1 less than a multiple of 5. multiples of 5 end in 0 or 5. minus 1 is either 4 or 9

that leaves 4X4 or 9X9

If 4X4 X has to equal 1 to make the digits sum to 9

it works, that's one solution

IF 9X9, X has to = 0, but 909 doesn't work or 999. 999/18 = 55 999 is one less than 1000 which is a multiple of 5

there're two solutions: 414 and 999