Question

One-sixth of a certain number is four more

Answer 1

If one-sixth of a certain number is four more than one-twelfth the number, the required number will be 48.

Let the unknown number be 'a'

One-sixth of the number is expressed as 1/6 a ..... 1

One-twelfth the number is also expressed as 1/12 a

Four more than one-twelfth the number will be written as:

1/12 a + 4 .... 2

Equating 1 and 2 will give:

1/6 a = 1/12 a + 4

a/6 = a/12 + 4

Collect the like terms

$\frac{a}{6} - \frac{a}{12} = 4$

Find the LCM

$\frac{2a-a}{12} = 4\\\frac{a}{12} = 4$

Cross multiply

a = 12×4

a = 48

This shows that the required number is 48

Learn more on equations here: brainly.com/question/14034270

Answer 2

let number be x

1/6x - 1/12x= 4

1/12x=4

cross multiply

x= 12 x 4

x= 48