Take two numbers, such that the square of the first, plus the square of the second, shall equal 8; while the first, plus the product of the first and second, shall equal 6. What are the two numbers?
A man has three daughters. A second, intelligent man, asked him the ages of his daughters. The first man told him that the product of their ages (them all multiplied together,) was 36. After thinking the second man was unable to find the answer and asked for another clue. The first man replies the sum of their ages is equal to his house door number. Still the second man was unable to answer and asked for another clue. The first man told him that his youngest daughter had blue eyes, and suddenly second man gave the correct answer. What were the ages of the first man's 3 children?
Everything the 2 men say here is a clue:
3 daughters, product of their ages is 36, then he gives him an estimate that the second person knows but we do not (the house door number), when the second man needs one more piece of information, the first man tells him the youngest has blue eyes.
So to solve, you want to write down all the 3 numbers whose product is 36, then to find the last hint, knowing that there IS a youngest child...
The ages are 6, 6 and 1.
to solve, you want to write down all the 3 numbers whose product is 36.
1, 1, 36
1, 3, 12
1, 4, 9
1, 2, 18
1, 6, 6
2, 2, 9
2, 3, 6
3, 3, 4
Here's the hardest part, the fact that the doorbell clue was not enough to solve the puzzle means that if we add up each of these options, we get at least two results that are the same, and we need more information to decide which one.
These are
13: 1, 6, 6
13: 2, 2, 9
Then to find the last hint, knowing that there IS a youngest child, means the smallest child doesn't have another sibling in the same age, meaning that 2,2,9 doesn't work, and we are left with 1, 6 and 6.
Take two numbers, such that the square of the first, plus the square of the second, shall equal 8; while the first, plus the product of the first and second, shall equal 6. What are the two numbers?
A renowned chemist is found dead in his lab. There is no clear evidence except a piece of paper lying by the body. The paper is blank other than the name of five elements scrawled across it hastily:
Nickel
Carbon
Oxygen
Lanthanum
Sulfur
The guard reported that three people visited the chemist that day – his sister, Laura; his colleague, Nicolas; and his wife, Tessa. The criminal was arrested immediately. Who was it?
A group of campers have been on vacation so long, that they've forgotten the day of the week. The following conversation takes place.
Darryl: What's the day? I don't think it is Thursday, Friday or Saturday.
Tracy: Well that doesn't narrow it down much. Yesterday was Sunday.
Melissa: Yesterday wasn't Sunday, tomorrow is Sunday.
Ben: The day after tomorrow is Saturday.
Adrienne: The day before yesterday was Thursday.
Susie: Tomorrow is Saturday.
David: I know that the day after tomorrow is not Friday.
If only one person's statement is true, what day of the week is it?
It is Wednesday. If it was any other day of the week, more than one statement would be true.
To solve the riddle, evaluate each person's statement and write down what day it could be according to the statement.
David's statement indicates it could be any day of the week except for Wednesday. When you list the days that it could be according to everyone's statement, it turns out Wednesday is the day mentioned only one time.
Darryl: Sunday, Monday, Tuesday, or Wednesday
Tracy: Monday
Melissa: Saturday
Ben: Thursday
Adrienne: Saturday
Susie: Friday David: Sunday, Monday, Tuesday, Thursday, Friday or Saturday
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