Question

Eleven more than five times a number is equal to the difference between 144 and twice the number. Find the number.

Answer 1

Let the given number is x

11 more than five times the number, means

Multiply x by 5, then add 11

`5* x+11=5x+11\rightarrow(1)`

The difference between 144 and twice the number means

Multiply x by 2, then subtract it from 144

`144-2* x=144-2x\rightarrow(2)`

Now equate the two expressions (1), (2) above

`5x+11=144-2x`

Add 2x to both sides

`\begin{gathered} 5x+2x+11=144-2x+2x \\ 7x+11=144 \end{gathered}`

Subtract 11 from both sides

`\begin{gathered} 7x+11-11=144-11 \\ 7x=133 \end{gathered}`

Divide both sides by 7

`\begin{gathered} (7x)/(7)=(133)/(7) \\ x=19 \end{gathered}`

The number is 19