Question

Determinați numerele ab, dacă 24 - [35 - (18 – 2×a×b: 4)]= 6.DAU COROANA!!!​

Answer 1

Răspuns:

24 - [35 - (18 – 2ab: 4)]= 6

35 - (18 – 2ab: 4)=24-6

18-2ab: 4=35-18

2ab:4=18-17

2ab=1·4

ab=4:2=>ab=2

Answer 2

Răspuns: $\red{\large\boxed{\bf (a,b) \in \big\{\ (1,~2);~(2,~1) \big\}}}$

Explicație pas cu pas:

$\bf 24 - [35 - (18-2\cdot a\cdot b: 4)]= 6$

$\bf 24 - 6 =[35 - (18-2\cdot a\cdot b: 4)]$

$\bf 18 =35 - (18-2\cdot a\cdot b: 4)$

$\bf 18+ (18-2\cdot a\cdot b: 4)=35$

$\bf (18-2\cdot a\cdot b: 4)=35-18$

$\bf 18-2\cdot a\cdot b: 4=17$

$\bf 18=17+2\cdot a\cdot b: 4$

$\bf 18-17=2\cdot a\cdot b: 4$

$\bf 1=2\cdot a\cdot b: 4~~~\bigg|\cdot 4$

$\bf 4=2\cdot a\cdot b~~~\bigg|:2$

$\bf 2=a\cdot b \implies \red{\large\boxed{\bf (a,b) \in \{\ (1,~2);~(2,~1) \}}}$

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