Question

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

Answer 1

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.

Answer 2

`color(magenta)(x=42`

Explanation:

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

According to question,

`1/7x+1/2x=27`

`2/14x+7/14x=27`

`9/14x=27`

`x=cancel(27)^3xx14/cancel9^1`

`x=3xx14`

`color(magenta)(x=42`

~Hope this helps! :)