The Mysterious Number Puzzle
A number is multiplied by 3 and then increased by 8. The result is equal to twice the original number plus 14. What is the number?
A box of biscuits
A box of biscuits contains 36 biscuits. 20 biscuits have foil wrappers. 15 are chocolate biscuits with foil wrappers. If 9 are not chocolate and do not have a foil wrapper, then how many chocolate biscuits are there?
Let the unknown number be x.
ReplyDeleteAccording to the problem:
The number is multiplied by 3 → 3x
Then, it is increased by 8 → 3x + 8
This result is equal to twice the original number plus 14 → 2x + 14
Now, we set up the equation:
3x + 8 = 2x + 14
Solving for x:
Subtract 2x from both sides:
3x - 2x + 8 = 14
x + 8 = 14
Subtract 8 from both sides:
x = 6
Final Answer:
The number is 6.