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determinati numerele a,b,c si d stiind ca sunt direct proportionale cu 2,3,4,5 si a+b+c+d =42

Răspuns :

a/2=b/3=c/4=d/5   ⇒b=3a/2     c=4a/2=2a     d=5a/2
a+b+c+d=42
a+3a/2+2a+5a/2=42
3a+8a/2=42
3a+4a=42
7a=42
a=6
b=3a/2=3×6/2=9
c=2a=2×6=12
d=5a/2=5×6/2=15