Question

Twice a number is increased by one-third the same number. the result is 28.Find the number?

Answer 1

To begin solving this question, let us represent the unknown number by x.

First

We are told that twice a number is increased by one-third the same number

so, we can represent this as

`2* x+(1)/(3)x`

`2x+(1)/(3)x`

Next, we are told that the result is 28, thus

`2x+(1)/(3)x=28`

The final step will be to simplify the expression

`(7x)/(3)=28`

Cross multiply to get x

`\begin{gathered} 7x=3*28 \\ x=(3*28)/(7) \\ x=3*4 \\ x=12 \end{gathered}`

Hence, the number is 12