Question

the sum of half of a number and 49 is 9/4 of the number. find the number?

Answer 1

Let the number be x.
$\frac{x}{2} + 49 = \frac{9}{4} \\ \frac{x + 98}{2} = \frac{9}{4} \\ x + 98 = \frac{9}{2} \\ 2x + 196 = 9 \\ \\ 2x = 9 - 196 \\ 2x = - 185 \\ x = - 185 \div 2 \\ x = - 92.5$