Question

a=? b=? c=? a×b=54 b×c=12 a+c=11 a=? b=? c=?​

Answer 1

Răspuns:

• a = 9

• b = 6

• c = 2

Explicație pas cu pas:

a×b=54

b×c=12

a+c=11

Adunam primele relatii :

a×b + b×c = 54 + 12

b × (a + c) = 66

b × 11 = 66

b = 66 : 11

b = 6

a × 6 = 54

a = 54 : 6

a = 9

6 × c = 12

c = 12 : 6

c = 2

Answer 2

$\it\ ab=54 \Rightarrow a=\dfrac{54}{b}\\ \\ \\ bc=12 \Rightarrow c=\dfrac{12}{b}\\ \\ \\ a+c=11 \Rightarrow\dfrac{54}{b}+\dfrac{12}{b}=11\bigg|_{\cdot b} \Rightarrow 54+12=11b \Rightarrow 66=11b \Rightarrow b=6\\ \\ \\ a=\dfrac{54}{6}=9;\ \ \ c=\dfrac{12}{6}=2$

Numerele cerute sunt: a = 9,  b=6,  c=2 .