SOLUTION: Here is my word problem that I do now know how to solve: If a number is increased by 14 and the result is multiplied by 2/3 the answer is 60. Find the orginal number. Thank you!

Question 490950: Here is my word problem that I do now know how to solve: If a number is increased by 14 and the result is multiplied by 2/3 the answer is 60. Find the orginal number. Thank you!
Found 2 solutions by Theo, Earlsdon:
Answer by Theo(3458) (Show Source):
You can put this solution on YOUR website!
let x be the number.
the equation you need is:
(x + 14) * (2/3) = 60
solve for x.
simplify the equation to get:
(2/3) * x + (2/3) * 14 = 60
simplify further to get:
(2/3) * x + (28/3) = 60
multiply both sides of the equation by 3 to gtet:
2 * x + 28 = 180
subtract 28 from both sides of the equation to get:
2 * x = 180 - 28
simplify to get:
2 * x = 152
divide both sides of the equation by 2 to get:
x = 76

that should be your answer.
substitute in the original problem statement to see it it holds true.

if a number is increased by 14 and the result is multiplied by 2/3 then the answer is 60.

76 + 14 = 90 * 2/3 = 60

76 as the number is good.

Answer by Earlsdon(6287) (Show Source):
You can put this solution on YOUR website!
Let n = the missing number, then...
"If a number (n) is increased by 14 and the result is multiplied by , the answer is 60." Multiply both sides by
Simplify.
Subtract 14 from both sides.