Question

am nevoie de ex 17 urgent,dau coroana ‼️‼️‼️​

Answer 1

Răspuns:

84

Explicație pas cu pas:

$(\overline {xy}; 96) = 12$

$\overline {xy} = 12 \cdot m$

$10 \leqslant \overline {xy} \leqslant 99$

$10 \leqslant 12 \cdot m \leqslant 99 \implies 1 \leqslant m \leqslant 8$

96 = 12×8

(8; m) = 1 => m ∈ {1; 3; 5; 7}

$\implies \overline {xy} \in \Big\{ 12; 36; 60; 84\Big\}$

▪︎

$(\overline {xy}; 70) = 14$

$\overline {xy} = 14 \cdot n$

$10 \leqslant \overline {xy} \leqslant 99$

$10 \leqslant 14 \cdot n \leqslant 99 \implies 1 \leqslant n \leqslant 7$

70 = 14×5

(5; n) = 1 => n ∈ {1; 2; 3; 4; 6; 7}

$\implies \overline {xy} \in \Big\{ 14; 28; 42; 56; 84; 98\Big\}$

=>

$\implies \bf \overline {xy} = 84$