Question

The sum of one-fourth of a number and one-third of a number is that number increased by five. What is the number?

Answer 1

$let \: the \: number \: be \: x \\ \frac{1}{4}x + \frac{1}{3} x = x + 5 \\ \frac{3}{12} x + \frac{4}{12} x = x + 5 \\ \frac{(3 + 4)x}{12} = x + 5 \\ \frac{7x}{12} = x + 5 \\ 7x = 12(x + 5) \\ 7x = 12x + 60 \\ 12x - 7x = - 60 \\ 5x = - 60 \\ x = \frac{ - 60}{5} \\ x = - 12$
hence the number is -12
hope this will help