In each of these sentences, can you replace the missing number.
The number is written as a word (e.g. five, twenty-four, thirty-three), and each sentence is correct after the replacement.
This sentence contains exactly ? E's and not one more. However, this sentence contains exactly ? S's, with a single Z. Finally, to finish, this sentence has exactly ? I's.
Answers This sentence contains exactly eight E's and not one more.However, this sentence contains exactly seven S's, with a single Z.Finally, to finish, this sentence has exactly six I's.
?
Puzzle 615
Can you highlight exactly three numbers that add to 19?
Note: this puzzle is not interactive, and the numbers cannot be clicked.
The puzzle didn't ask for three digits to be highlighted!
??
Puzzle 616
Practical Pat was asked to cut a 99 foot rope into three smaller, equal length ropes.
However, as usual, Pat couldn't find the measuring tape, so a guess took place!
When the tape was finally found (it was under a hat), Pat discovered that:
the second piece of rope was twice as long as the first piece, minus 35 feet the third piece of rope was half the length of the first, plus 15 feet
How long were each of the pieces of rope?
Answer
First = 34 feet.
Second = 33 feet.
Third = 32 feet.
Reasoning
This question can be solved using algebra. If we call the length of the first rope A, we have: Rope 1 = A Rope 2 = 2 x A − 35 Rope 3 = 0.5 x A + 15
The three ropes add to 99 feet: 99 = Rope 1 + Rope 2 + Rope 3 99 = A + (2 x A − 35) + (0.5 x A + 15) 99 = 3.5 x A − 20 119 = 3.5 x A 34 = A
