Question

Four times a number was 22 greater than twice the same number. What was the number?

Answer 1

Answer: 11

Explanation:

Set up an equation

Based on the question, we can determine that 4x = 22 + 2x where x in is the number

"Four times a number" -> 4x

"was" -> =

"22 greater than" -> 22 +

"twice the same number" -> 2x

Put the underlined parts together to get 4x = 22 + 2x

Solve equation

Rearrange/collect like terms to solve for x by subtracting 2x from both sides

4x = 22 + 2x

2x = 22

Solve for x by dividing each side by 2

2x = 22

x = 11

Final Answer

x = 11

Answer 2

11

Explanation:

let the number be x

4x = 22+2x

collect like terms

4x - 2x =22

2x = 22

divide both sides by the coefficient of x which is 2

2x/2 = 22/2

x = 11

the number is 11