Question

a number, twice that number, and one-third of that number added. the result is 20. what is the number?

Answer 1

let the number be x:

x+2x+(1/3)x=20...multiply terms by 3

3x+6x+x=60

10x=60

x=6

Answer 2

6

Explanation:

Let x = the number

2x = twice the number

1/3 x = one-third of the number

x + 2x + 1/3 x = 20

Combine like terms.

3 1/3 x = 20

Change 3 1/3 to an improper number.

10/3 x = 20

Times by 3/10 on both sides.

3/10 • 10/3 x = 20•3/10

x = 60/10

x = 6

Check:

6 + 2(6) + 1/3(6)

= 6 + 12 + 2

= 20 check!