Substanz 4964 Posted April 23, 2021 Report Share Posted April 23, 2021 12 JillyJill and stelthii like this Quote Link to post Share on other sites
Brasil_66 368 Posted April 23, 2021 Report Share Posted April 23, 2021 Subz has the right answer! a+2=2(a-5) a+2=2a-10 10+2=2a-a 12=a JillyJill likes this Quote Link to post Share on other sites
JillyJill 5336 Posted April 23, 2021 Author Report Share Posted April 23, 2021 Oh yes, sounds like 12 is the correct answer, gg Quote Link to post Share on other sites
stelthii 606 Posted April 23, 2021 Report Share Posted April 23, 2021 @SubstanzCorrect! The stage is yours! Quote Link to post Share on other sites
Substanz 4964 Posted April 24, 2021 Report Share Posted April 24, 2021 If you’re 8 feet away from a door and with each move you advance half the distance to the door. How many moves will it take to reach the door? SOLVED Click on the spoiler below to reveal the correct answer. Spoiler You will never reach the door stelthii and JillyJill like this Quote Link to post Share on other sites
ref lex 15 Posted April 24, 2021 Report Share Posted April 24, 2021 Will never reach the door Substanz and stelthii like this Quote Link to post Share on other sites
Substanz 4964 Posted April 24, 2021 Report Share Posted April 24, 2021 @ref lex good job your turn ! In fact you will be always at the half distance between you and the door (asymptotic) ref lex likes this Quote Link to post Share on other sites
stelthii 606 Posted April 24, 2021 Report Share Posted April 24, 2021 I think we will reach the door. Only that we will do it in infinite amount of moves. Spoiler Let S = distance left to the door, then the first move will be = S x (1/2). In regards to the total distance we'll end up with an equation of: S = 1/2 + 1/4 + 1/8 + 1/16... 1/n. There are infinite middle points/moves between us and the door, so we'll always traverse half of half. At the same time, if we combine the above with common sense, then we know that we will (eventually) reach the door. In the end, we'll reach the door, but with infinite points of "moves". Quote Link to post Share on other sites
ref lex 15 Posted April 24, 2021 Report Share Posted April 24, 2021 John has three daughters who are all unmarried. The youngest always lies, the oldest always tells the truth, and the one in the middle either tells the truth or lies. A very rich young man comes to John's house and says he wishes to marry one of his daughters. Naturally he wants to marry the oldest or the youngest so he will always know if she is lying or telling the truth. John agrees but says he can only ask one of the girls a yes or no question to decide which one he marries. They all look the same age. What one question does he ask one of the daughters at random to figure out which daughter is the youngest or oldest? SOLVED Click on the spoiler below to reveal the correct answer. Spoiler Is she younger/older than the other one? Quote Link to post Share on other sites
JillyJill 5336 Posted April 25, 2021 Author Report Share Posted April 25, 2021 I think we're stuck a little. Could you give us a hint? Quote Link to post Share on other sites
ref lex 15 Posted April 25, 2021 Report Share Posted April 25, 2021 He always should pick the younger daughter based on what he knows. If he asks the older daughter and she says yes, then the youngest daughter will be known. If he asks the older daughter and she says no, then the youngest daughter is the other one. Quote Link to post Share on other sites
JillyJill 5336 Posted April 25, 2021 Author Report Share Posted April 25, 2021 Well, if he asks the oldest daughter a question 'is this the youngest one?' while pointing a finger at one of the two, he will know the answer. But that's only assuming that he knows that he's asking an oldest daughter. If I understood right, he doesn't know which one of the sister he asks a question, or am I wrong? Substanz likes this Quote Link to post Share on other sites
ref lex 15 Posted April 25, 2021 Report Share Posted April 25, 2021 You almost got the answer, but it's not correct. Quote Link to post Share on other sites
JillyJill 5336 Posted April 26, 2021 Author Report Share Posted April 26, 2021 I keep thinking. Maybe he could ask 'is she younger (or older) than the other one'? But that only makes sense if he knows which girl is answering... ref lex likes this Quote Link to post Share on other sites
ref lex 15 Posted April 26, 2021 Report Share Posted April 26, 2021 You got the correct answer JillyJill likes this Quote Link to post Share on other sites
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