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daca a+b=33 si a+c=11,calculati 5×a+3×b+2×c

Răspuns :

Cocirmariadenis

a + b = 33   si a + c = 11

5 × a + 3 × b + 2 × c = 121

= ( 3 × a + 2 × a ) + 3 × b + 2 × c =

= ( 3 × a + 3 × b ) + ( 2 × a + 2 × c ) =

= 3 × ( a + b ) + 2 × ( a + c ) =

= 3 × 33 + 2 × 11 =

= 99 + 22 =

= 121