Question

un numar este cu 72 mai mare decat alt numar .ampartind suma lor la diferenta lor obtinem catul 5 si restul 2.determinati cele doua numere .

Answer 1

[tex]a=b+72 \\ (a+b):(a-b)=5~r~2 \\ a+b=5(a-b)+2 \\ a+b=5a-5b+2 \\ b+72+b=5(b+72)-5b+2 \\ 2b+72=5b+360-5b+2 \\ 2b+72=362 \\ 2b=362-72 \\ 2b=290 \\ \boxed{b=145} \\ a=145+72 \\ \boxed{a=217}[/tex]

Answer 2

a=b+72
a+b/a-b=5,rest2⇒a+b=5(a-b)+2⇒a+b=5a-5b+2
b+72+b=5(b+72)-5b+2
2b+72=5b+360-5b+2⇒2b=290⇒b=145
a=145+72⇒a=217