# math

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?

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1. 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.

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