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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?

 Apr 6, 2020
 #1
avatar+252 
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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.

 Apr 6, 2020
 #2
avatar+201 
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Thanks, you are awesome!

 Apr 6, 2020
 #3
avatar+116 
+1

 If the sum is less than 220, what is the greatest possible value for the largest of the three integers in the set?: Less than 220, therefore, the number is 212 or the 1st and 3rd digit = 1

your welcome

 Apr 6, 2020

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