Question

Suma numerelor de forma abcd ce satisfac relatia:

abcd +ab X cd - 97ab=2010

Answer 1

abcd+cd+ab·cd-97·ab = 2010
ab·100+cd+ab·cd-97·ab = 2010
3·ab+cd+ab·cd = 2010
3·ab+3+cd+ab·cd = 2010+3
3·(ab + 1)+cd·(ab+1)=2013
(ab+1)·(cd+3)=2013
2013 = 33·61
ab+1=33
cd+3=61
abcd =3258
ab+1=61
cd+3=33
abcd=6030
3258+6030=9288 suma numerelor