# When one-half of a number is added to one-seventh of the number, the sum is 27. What is the number?

Apr 20, 2018

42

#### Explanation:

one half of the number plus one-seventh of a number is equal to nine-seventh of the number.27 divide by 9 is 3.one fourteenth of the number is 3.the number is 42.

Apr 20, 2018

color(magenta)(x=42

#### Explanation:

Let us assume the unknown number to be $x$.

According to question,

$\frac{1}{7} x + \frac{1}{2} x = 27$

$\frac{2}{14} x + \frac{7}{14} x = 27$

$\frac{9}{14} x = 27$

$x = {\cancel{27}}^{3} \times \frac{14}{\cancel{9}} ^ 1$

$x = 3 \times 14$

color(magenta)(x=42

~Hope this helps! :)