What is wrong with the following proof?
2=1
a = b
a2 = ab
a2 – b2 = ab – b2
(a+b)(a-b) = b(a-b)
a + b = b
2b = b
2 = 1
Math Riddles
500 Pages Book
A book has 500 pages:
The 1st page says “Exactly 1 page in this book is false.”
The 2nd page says “Exactly 2 pages in this book are false.”
…
The 500th page says “Exactly 500 pages in this book are false.”
Can any of the pages be true?
Riddle Answer3 Full Jars
There are three jars full of equal amounts quarters, dimes, and penny’s. Which one has the highest value?
Riddle Answer4 Trees Same Distance
A smart landscaper is given the task of placing 4 trees so that they are all the same distance away from each other. How does he do this?
Riddle AnswerCycle to Gradmother’s House
Last week Tom decided to cycle to his grandmother’s house.
On the first day, he cycled half of the distance.
On day 2, he cycled one half of the remaining distance.
On day 3, he cycled three quarters of the remaining distance.
On day 4, he cycled 10 miles.
On day 5, he cycled two thirds of the remaining distance and on the final day he cycled the remaining 5 miles.
How far is it to his grandmother’s house?
Riddle Answer