Answer:
The number is 12
Step-by-step explanation:
[] First, let's turn all these words into something mathematical. N will equal "my number"
-> If you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number.
-> n + 12 and then multiply the result by 3, you will get 64 more than two-thirds of my number.
-> 3(n + 12), you will get 64 more than two-thirds of my number.
-> 3(n + 12) = 64 more than [tex]\frac{2n}{3}[/tex]
-> 3(n + 12) = 64 + [tex]\frac{2n}{3}[/tex]
[] Phew, okay. Now it is something we can solve and less scary;
[Given]
3(n + 12) = 64 + [tex]\frac{2n}{3}[/tex]
[Distribute]
3n + 36 = 64 + [tex]\frac{2n}{3}[/tex]
[Multiply both sides by 3]
9n + 108 = 192 + 2n
[Subtract 108 and 2n from both sides]
7n = 84
[Divide both sides by 4]
n = 12
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
