Question

Determind numerele a, b, cstiiind ca: a+b=c a-b=b b+c=16.

Answer 1

a + b = c

a - b = b <=> a = 2b.

b + c = 16

2b + b = c

b + c = 16 <=> b + 2b + b = 16 <=>
4b = 16 <=> b = 4.

a = 2b <=> a = 2 * 4 => a = 8.

c = a + b => c = 8 + 4 = 12.

verificare :

8 + 4 = 12 ( da )

8 - 4 = 4 ( da )

4 + 12 = 16 ( da )

Answer 2

Răspuns:

$a+b=c\\\\a-b=b \Rightarrow a = 2b\\\\inlocuim \:pe\:a\:in\:prima\:relatie\\\\2b+b = c\Rightarrow c = 3b\\\\inlocuim \:pe\:c\:in\:a\: treia\:relatie\\\\b+3b=16\Rightarrow 4b = 16\Rightarrow b=16:4\Rightarrow\boxed{b=4}\\\\c= 3 *4 \Rightarrow \boxed {c=12}\\\\a= 2 * 4 \Rightarrow \boxed{a=8}$