posted by amoura on .
i am a 5 digit palindromic number. My third digit is 5 more than my fifth digit , my fourth digit is 2 times greater than my first digit. The sum of my digit is 14 What number am i?
the number is abcba
c = a+5
b = 2a
2a+2b+c = 14
(a,b,c) = (1,3,6)
the number is 13631
Note the possibly confusing "2 times greater" which means "3 times as much".
Instead of using algebra, if we just start guessing, then
if we let a=1, that makes c=6 and 2a+c=8, so dividing that up equally into 2b, b=3.