Afla numerele necunoscute :
x:15=17 rest 7
169:a=24 rest 1
a:7=143 rest 6
286:b=15 rest 1

ax16=700
12xa=300
ax7=756
24xa=744

(Am nevoie urgent sa ma ajutati)


Răspuns :

[tex]x \div 15 = 17 \: rest \: 7[/tex]

[tex]x = 15 \times 17 + 7[/tex]

[tex]x = 255 + 7[/tex]

[tex]x = 262[/tex]

[tex]169 \div a = 24 \: rest \: 1[/tex]

[tex]169 = a \times 24 + 1[/tex]

[tex]169 = 24a + 1[/tex]

[tex]24a = 169 - 1[/tex]

[tex]24a = 168[/tex]

[tex]a = \frac{168}{24} [/tex]

[tex]a = 7[/tex]

[tex]a \div 7 = 143 \: rest \: 6[/tex]

[tex]a = 7 \times 143 + 6[/tex]

[tex]a = 1001 + 6[/tex]

[tex]a = 1007[/tex]

[tex]286 \div b = 15 \: rest \: 1[/tex]

[tex]286 = b \times 15 + 1[/tex]

[tex]286 = 15b + 1[/tex]

[tex]15b = 286 - 1[/tex]

[tex]15b = 285[/tex]

[tex]b = \frac{285}{15} [/tex]

[tex]b = 19[/tex]

[tex]a \times 16 = 700[/tex]

[tex]a = \frac{700}{16} [/tex]

[tex]a = \frac{350}{8} [/tex]

[tex]a = \frac{175}{4} [/tex]

[tex]12 \times a = 300[/tex]

[tex]a = \frac{300}{12} [/tex]

[tex]a = 25[/tex]

[tex]a \times 7 = 756[/tex]

[tex]a = \frac{756}{7} [/tex]

[tex]a = 108[/tex]

[tex]24 \times a = 744[/tex]

[tex]a = \frac{744}{24} [/tex]

[tex]a = 31[/tex]