Diana Lamb

2022-10-08

If the sum of a number and three is tripled, the result is nine less than twice the number, how do you find the number?

Shania Delacruz

Beginner2022-10-09Added 7 answers

Let's call x the number.

You know that if you triple the sum of x and 3, you get a value that is 9 less than twice the number x.

This means that you can write

$\underset{{\text{three times the sum of x and 3}}}{\underset{\u23df}{(x+3)\cdot 3}}=\stackrel{{\text{9 less than twice the value of x}}}{\stackrel{\u23de}{2\cdot x-9}}$

Rearrange the above equation to solve for x

3x+9=2x−9

3x−2x=−9−9

x=−18

You know that if you triple the sum of x and 3, you get a value that is 9 less than twice the number x.

This means that you can write

$\underset{{\text{three times the sum of x and 3}}}{\underset{\u23df}{(x+3)\cdot 3}}=\stackrel{{\text{9 less than twice the value of x}}}{\stackrel{\u23de}{2\cdot x-9}}$

Rearrange the above equation to solve for x

3x+9=2x−9

3x−2x=−9−9

x=−18

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