Question

Twice a number is 500 more than six times the number. What is the number?


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Answer 1

NUMBER

Question:

» Twice a number is 500 more than six times the number. What is the number?

Answer:

• $\color{hotpink}{ \bold{- 125}}$

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Solution:

Let the number be x.

Then,

$2x = 6x + 500 \\ 2x - 6x = 500 \\ \: \: \: \: \: \: \: - 4x = 500 \\ \: \: \: \: \: \: \: \: \frac{ \cancel{- 4}x}{ \cancel{- 4}x} = \frac{500}{ - 4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \underline{ \boxed{ \blue{ - 125}}}$

Hence, the number is -125.

Answer 2

Using algebraic expression, the number is calculated as: -125.

What is an Algebraic Expression?

An algebraic expression involves using numbers and variables to make statements.

Let the unknown number be represented as x. Therefore:

Twice the number is 2x

2x is 500 more than 6x is 2x = 6x + 500

Solve the algebraic equation to find the number (x):

2x = 6x + 500

2x - 6x = 500

-4x = 500

x = -500/4

x = -125

Thus, using algebraic expression, the number is calculated as: -125.

Learn more about algebraic expression on:

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