A palindrome is a number that reads the same forwards and backwards. The sum of a particular set of three consecutive positive integers is a three-digit palindrome. If the sum is less than 220, what is the greatest possible value for the largest of the three integers in the set?
The largest 3 digit palindrome less than 220 is 212. But 212 won't work since it is x+x+1+x+2, so the number has to be divisibe by three. 202 doesn't work either, but 171 does. 3x+3=171, 3x=168 x=56. The largest possibiliyy would be 58.