Question

• 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:

900

Step-by-step explanation:

let the number be x

according to question we have

$\frac{6x}{5} - \frac{5x}{6} = 33 \\ = \frac{36x - 25x}{30} = 33 \\ = \frac{11x}{30} = 33 \\ = x = \frac{33 \times 30}{11} \\ = x = 900$

Answer 2

Answer:

let the number be x

according to question we have

\begin{gathered} \frac{6x}{5} - \frac{5x}{6} = 33 \\ = \frac{36x - 25x}{30} = 33 \\ = \frac{11x}{30} = 33 \\ = x = \frac{33 \times 30}{11} \\ = x = 900\end{gathered}

5

6x

−

6

5x

=33

=

30

36x−25x

=33

=

30

11x

=33

=x=

11

33×30

=x=900

Step-by-step explanation:

let the number be x

according to question we have

\begin{gathered} \frac{6x}{5} - \frac{5x}{6} = 33 \\ = \frac{36x - 25x}{30} = 33 \\ = \frac{11x}{30} = 33 \\ = x = \frac{33 \times 30}{11} \\ = x = 900\end{gathered}

5

6x

−

6

5x

=33

=

30

36x−25x

=33

=

30

11x

=33

=x=

11

33×30

=x=900