Fie a si b cele doua nr. cautate.
[tex] \frac{a+b}{2} =16,75= \frac{1675}{100} = \frac{67}{4} [/tex]
[tex] \frac{a}{b} =1,2(3)= \frac{123-12}{90} = \frac{111}{90} = \frac{37}{30} [/tex]
deci
a=b*[tex]\frac{37}{30}[/tex] si introducem aceasta expresie in calculul mediei aritmetice:
b+b*[tex]\frac{37}{30}[/tex]=2*[tex]\frac{67}{4}[/tex]=[tex]\frac{67}{2}[/tex]
b*(1+[tex]\frac{37}{30}[/tex])=[tex]\frac{67}{2}[/tex]
b*[tex]\frac{67}{30}[/tex]=[tex]\frac{67}{2}[/tex]
b=[tex]\frac{30}{2}[/tex]
b=15
a=15*[tex]\frac{37}{30}[/tex]
a=[tex]\frac{37}{2}[/tex]
