N is a 4-digit positive integer, whose last digit is not zero, and which does not contain any leading zeros.
R(N) is the four-digit integer obtained by reversing the digits of N; for example, R(4386) = 6834

Determine all values of N that satisfy: R(N) = 4N + 3

The 1st digits is clearly 1, forcing last digit to be 7.

Therefore we have to find x and y in the concatenation **1xy7.**

**4ooo+400x+40y+28+3=7000+100y+10x+1**

the above reduces to x=(99+2y)/13

solvable in integers only as **y=9 and x=9**

answer: **1997**

**My remark (at most d2) was flatly ignored.**

*Edited on ***July 27, 2015, 9:42 am**