Question

Translate this verbal expression into an algebraic equation and solve: thirteen less than twice the sum of a number and six is 47.

you must also give the equation.

Answer 1

Please check the explanation.

Explanation:

Given the verbal expression

''Thirteen less than twice the sum of a number and six is 47''.

Let us break down the verbal expression into an algebraic equation

• Let the number be = n

• Twice the number n = 2n

• Sum of twice the number and six = 2n+6

• Thirteen less than twice the sum of a number and six = 2n+6-13

And finally

Thirteen less than twice the sum of a number and six is 47:

2n+6-13 = 47

Therefore, the equation is:
`2n+6-13 = 47`

Solving the algebraic expression

solving the equation for 'n'

`2n+6-13 = 47`

`2n-7=47`

Add 7 to both sides

`2n-7+7=47+7`

Simplify

`2n=54`

Divide both sides by 2

`(2n)/(2)=(54)/(2)`

Simplify

`n=27`