Question

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)

Answer 1

$x \div 15 = 17 \: rest \: 7$

$x = 15 \times 17 + 7$

$x = 255 + 7$

$x = 262$

$169 \div a = 24 \: rest \: 1$

$169 = a \times 24 + 1$

$169 = 24a + 1$

$24a = 169 - 1$

$24a = 168$

$a = \frac{168}{24}$

$a = 7$

$a \div 7 = 143 \: rest \: 6$

$a = 7 \times 143 + 6$

$a = 1001 + 6$

$a = 1007$

$286 \div b = 15 \: rest \: 1$

$286 = b \times 15 + 1$

$286 = 15b + 1$

$15b = 286 - 1$

$15b = 285$

$b = \frac{285}{15}$

$b = 19$

$a \times 16 = 700$

$a = \frac{700}{16}$

$a = \frac{350}{8}$

$a = \frac{175}{4}$

$12 \times a = 300$

$a = \frac{300}{12}$

$a = 25$

$a \times 7 = 756$

$a = \frac{756}{7}$

$a = 108$

$24 \times a = 744$

$a = \frac{744}{24}$

$a = 31$