Question

the sum of half number of a number and 49 is 21/4 of a number find the number

Answer 1

Step By Step Solution :-

Let number be = x
According to question

$\frac{1}{2} x \: + 49 = \frac{21}{4}$
Multiply both side by 4

$4 \times \frac{1}{2} x + 4 \times 49 = 4 \times \frac{21}{4}$

$2x + 196 = 21$

$2x = 21 - 196$

$2x = - 175$

$x = \frac{ - 175}{2}$

Or

$- 87 \frac{1}{2} \: or \: - 87.5$