Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

4 less than half a number is equal to 2 more than the number

Sagot :

danielgeyfman

Answer:

[tex]-12[/tex]

Step-by-step explanation:

Let that number be [tex]x[/tex]. We can build an equation, and solve for [tex]x[/tex].

[tex]4[/tex] less than half of [tex]x[/tex] is [tex]x/2-4[/tex].

[tex]2[/tex] more than [tex]x[/tex] is [tex]x+2[/tex].

We are given that the two quantities are equal, so we have that [tex]x/2-4=x+2[/tex].

Adding [tex]4[/tex] to both sides gives [tex]x/2=x+6[/tex].

Multiplying both sides by [tex]2[/tex] gives [tex]x=2(x+6)=2x+12[/tex].

Subtracting [tex]2x[/tex] from both sides gives [tex]-x=12[/tex].

Multiplying both sides by [tex]-1[/tex] gives [tex]x=-12[/tex].

So, the number is [tex]\boxed{-12}[/tex] and we're done!

The check is left as an exercise to the reader.

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.