SOLUTION: word problems If you double a number, and then add 16, you will get 2/5 of the original number. What is the original number? well I get: 2x + 16 = 2/5x ?? and I don't k

Algebra ->  Equations -> SOLUTION: word problems If you double a number, and then add 16, you will get 2/5 of the original number. What is the original number? well I get: 2x + 16 = 2/5x ?? and I don't k      Log On


   



Question 1138043: word problems
If you double a number, and then add 16, you will get 2/5 of the original number. What is the original number?
well I get: 2x + 16 = 2/5x ??
and I don't know how to solve it. Im stumped. please help me? Thank you.

Found 3 solutions by VFBundy, josgarithmetic, MathTherapy:
Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
2x + 16 = (2/5)x

(5/2)(2x + 16) = x

5x + 40 = x

4x = -40

x = -10

Double-check:

Start with -10. Double it to get -20. Add 16 to get -4. -4 is 2/5 of the original number, -10.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, the number

---
double a number, and then add 16, you will get 2/5 of the original number.
---

2x%2B16=%282%2F5%29x
SOLVE FOR x.

First step can be
5%282x%2B16%29=5%282%2F5%29x
and you can choose the next steps.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

word problems
If you double a number, and then add 16, you will get 2/5 of the original number. What is the original number?
well I get: 2x + 16 = 2/5x ??
and I don't know how to solve it. Im stumped. please help me? Thank you.
matrix%281%2C3%2C+2x+%2B+16%2C+%22=%22%2C+%282%2F5%29x%29
10x + 80 = 2x ------- Multiplying by LCD, 5
80 = 2x - 10x
80 = - 8x