Beginner Mathematics-4.

Number Theory Level 3

Let the number of five digit even palindromes be x x . Find x + 100 x + 100 .

1000 200 300 400 500

Ekene Franklin by EKENE FRANKLIN , 16, Nigeria

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1 solution

X X
Nov 7, 2018

The palindromes are in the form of a b c b a ‾ \overline{abcba} .

a a can be 2 , 4 , 6 , 8 2,4,6,8

b b and c c can be any digit from 0 0 to 9 9 .

x = 4 × 10 × 10 = 400 , x + 100 = 500 x=4\times10\times10=400,x+100=500

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