Question

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Answer 1

a)

$6 \div (20 \times 5 - (a \div 3 - 45 \div 5) - 22) = 1$

$6 \div (100 - ( \frac{1}{3}a - 9) - 22) = 1$

$6 \div (100 - \frac{1}{3}a + 9 - 22) = 1$

$6 \div (87 - \frac{1}{3} a) = 1$

$6 \div \frac{261 - a}{3} = 1$

$\frac{18}{261 - a} = 1$

$18 = 261 - a$

$a = 261 - 18$

$a = 243$

b)

$(1 + 2 \times (6 + a \div 3) - 5) \div 6= 2$

$(1 + 2 \times (6 + \frac{1}{3} a) - 5) \times \frac{1}{6} = 2$

$(1 + 12 + \frac{2}{3} a - 5) \times \frac{1}{6} = 2$

$(8 + \frac{2}{3}a) \times \frac{1}{6} = 2$

$\frac{24 + 2a}{3} \times \frac{1}{6} = 2$

$\frac{12 + a}{ 3} \times \frac{1}{3} = 2$

$\frac{12 + a}{9} = 2$

$12 + a = 18$

$a = 18 - 12$

$a = 6$

c)

$2 + 2 \times (2 + 3 \times (2 + 404 \div a) - 612 \div 6) = 420$

$2 + 2 \times (2 + 3 \times (2 + \frac{404}{a}) - 102) = 420$

$2 + 2 \times (2 + 6 + \frac{1212}{a} - 102) = 420$

$2 + 2 \times ( - 94 + \frac{1212}{a}) = 420$

$2 - 188 + \frac{2424}{a} = 420$

$- 186 + \frac{2424}{a} = 420$

$\frac{2424}{a} = 420 + 186$

$\frac{2424}{a} = 606$

$2424 = 606a$

$606 = 2424$

$a = 4$

d)

$36 \times 2 + ((136 \times 4 + x \div 6) \times 5 - 2670) = 167$

$72 + ((544 + \frac{1}{6}x) \times 5 - 2670) = 167$

$72 + (2720 + \frac{5}{6} x - 2670) = 167$

$72 + (50 + \frac{5}{6} x) = 167$

$72 + 50 + \frac{5}{6}x = 167$

$122 + \frac{5}{6}x = 167$

$732 + 5x = 1002$

$5x = 1002 - 732$

$5x = 270$

$x = 54$