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

Answer:

Please check the explanation.

Step-by-step 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

$\frac{2n}{2}=\frac{54}{2}$

Simplify

$n=27$