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3 years ago

Twice the difference of a number and 3 is equal to three times the sum of the number and 2. Find the number.

Mathematics

1 answer:

AnnyKZ [126]3 years ago

5 0

<h2>Translating Words into Equations</h2>

We can translate words into numerical equations by replacing certain key words with numbers or operations:

<em>twice</em> = multiply by 2
<em>difference</em> = subtract
<em>a/the number</em> = Let this be <em>x</em>
<em>sum</em> = add

<h2>Solving the Question</h2>

We're given:

Twice the difference of a number and 3 is equal to three times the sum of the number and 2

Translate into an equation:

<u>Twice</u> the <u>difference</u> of <u>a number </u>and 3 is equal to three times the <u>sum</u> of<u> the number</u> and 2
⇒ $2(x-3)=3(x+2)$

<h3>Solve for <em>x</em>:</h3>

$2(x-3)=3(x+2)\\2x-6=3x+6\\-6=x+6\\x=-12$

<h2>Answer</h2>

x = -12

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