SOLUTION: if one-third of a number is added to twice of a number, the answer is 10. What is the number

Algebra ->  Linear-equations -> SOLUTION: if one-third of a number is added to twice of a number, the answer is 10. What is the number      Log On


   



Question 488926: if one-third of a number is added to twice of a number, the answer is 10.
What is the number

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if one-third of a number is added to twice of a number, the answer is 10.
---
Equation:
(1/3)x + 2x = 10
---
Multiply thru by 3 to get:
x + 6x = 30
7x = 30
x = 30/7
============
Cheers,
Stan H.
============

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let number be x
given:
if one-third of a number, x%2F3, is added to twice of a number, 2x, the answer is 10.
What is the number?
x%2F3%2B2x=10

3%2Ax%2F3%2B3%2A2x=3%2A10

x%2B6x=30
7x=30
x=30%2F7
x=4.29

check:
4.29%2F3%2B2%284.29%29=10

1.43%2B8.58=10
10.01=10
10=10