[tex]P _{1} =E*I _{1} [/tex]⇒[tex]I _{1} = \frac{P _{1} }{E} = \frac{24}{24} =1A[/tex]
[tex]P _{2} =EI _{2} [/tex]⇒[tex]I _{2} = \frac{P _{2}}{E } = \frac{36}{24} =1,5A[/tex]
[tex]I=I _{1} +I _{2} =1,5+1=2,5A[/tex]
[tex]P _{1} = I_{1} ^{2} *R _{1} [/tex]⇒[tex] R_{1} = \frac{P _{1} }{I_{1} ^{2} } = \frac{24}{1} =24ohm[/tex]
[tex]P _{2} = I_{2} ^{2} *R _{2} [/tex]⇒[tex] R_{2} = \frac{P _{2} }{I_{2} ^{2} } = \frac{36}{2,25} =16ohm[/tex]