Question

Aflati numerele a b c stiind ca a+b=c a-b=b si b+c=32 va rog repede

Answer 1

Răspuns:

• $\bf \red{a= 16}$
• $\bf \purple{b= 8}$
• $\bf \blue{c= 24}$

Explicație pas cu pas:

Știm:

a + b = c

a - b = b

b + c = 32

a, b, c = ?        

a - b = b ⇒ a = b + b ⇒ a = 2b

$\bf \left.\begin{aligned} \bf a+b=c\\\\\bf a=2b \end{aligned}\; \right\}\Rightarrow 2b+b=c\Rightarrow 3b=c\Rightarrow \underline{c=3b}$

$\it~$

$\bf \left.\begin{aligned} \bf b+c=32\\\\\bf c=3b \end{aligned}\; \right\}\Rightarrow b+3b=32\Rightarrow 4b=32\Rightarrow b=32:4\Rightarrow\red{\boxed{\bf b=8}}$

$\it~$

$\bf \left.\begin{aligned} \bf a=2b\\\\\bf b=8 \end{aligned}\; \right\}\Rightarrow a=2\cdot8\Rightarrow \red{\boxed{\bf a=16}}$

$\it~$

$\bf \left.\begin{aligned} \bf c=3b\\\\\bf b=8 \end{aligned}\; \right\}\Rightarrow c=3\cdot8\Rightarrow \red{\boxed{\bf c=24}}$

Verificare:

8 + 24 = 32 (adevărat)

==pav38==

Baftă multă !