Question

DAU CORONITA !
Suma a doua numere este 47, iar suma rasturnatelor lor este 173. Determinati cele doua numere.

Answer 1

ab+cd=47
ba+dc=173

10a+b+10c+d=47
10(a+c)+(b+d)=47
b+d=47- 10(a+c)
10b+a+10d+c=173
(a+c)+10(b+d)=173

=> a+c+10[47-10(a+c)]=173
a+c+470-100a-100c=173
297=99a+99c
a+c=3, dar a,d≠0, deci a=1 si c=2
b+d=47-30=17 , deci b=8 si d=9

Numerele: 18 si 29
18+29=47
81+92=173

Bafta!