# Question #b1813

Feb 14, 2017

The number is $150$.

#### Explanation:

Consider the number to be $x$. From the data given, we can write:

$x \times \frac{70}{100} = 105$

$x \times \frac{7 \cancel{0}}{10 \cancel{0}} = 105$

Multiply both sides by $\frac{10}{7}$.

$x = 105 \times \frac{10}{7}$

$x = 15 \cancel{105} \times \frac{10}{1 \cancel{7}}$

$x = 15 \times 10$

$x = 150$