Question

Suma a doua numere este 132. Impartim suma numerelor la diferenta lor ,se obtine catul 5 si restul12. Care sunt numerele? Cegmente daca se poate, daca nu si asa prin calcule .

Answer 1

a+b=132
(a+b):(a-b)=5 rest 12
132:(a-b)=5 rest 12
(a-b)*5+12=132
(a-b)*5=132-12=120
a-b=120:5=24=>a=24+b
b+24+b=132
2b=132-24=108
b=108:2=54
a=54+24=78

Answer 2

a+b=132
(a+b):(a-b)=5 rest 12
132:(a-b)=5 rest 12⇒132=(a-b)x5+12⇒a-b=120:5⇒a-b=24


a+b=132
a-b=24
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a+b+a-b=132+24
2a=156
a=156:2
a=78

b=132-a
b=132-78=54
b=54