Question

28 17. A boy was said to multiply a number by 5/6 but he divided the number and therefore the result was 33 more than the actual result. What was the number?​

Answer 1

Answer:

let the number be x,

AS PER QUESTION,

$x \times \frac{5}{6} + 33 = x \times \frac{6}{5}$

$\frac{5x}{6} + 33 = \frac{6x}{5}$

$\frac{5x}{6} - \frac{6x}{5} = - 33$

$\frac{25x - 36x}{30} = - 33$

$\frac{ - 11x}{30} = - 33$

$- 11x = - 33 \times 30$

$- 11x = - 990$

$x = \frac{ - 990}{ - 11}$

$x = 90$