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abcd 4-digit wanted b=a+2, c=a+2, d=c+2

Source: IX May Olympiad (Olimpiada de Mayo) 2003 L1 P1

September 22, 2022
number theoryDigitsalgebra

Problem Statement

Pedro writes all the numbers with four different digits that can be made with digits a,b,c,da, b, c, d, that meet the following conditions: a≠0 , b=a+2 , c=b+2 , d=c+2 a\ne 0 \, , \, b=a+2 \, , \, c=b+2 \, , \, d=c+2 Find the sum of all the numbers Pedro wrote.
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