Ī criticism of this problem is that a household may have two children of the same age in terms of natural numbers, but different birthdays, such as children in a mixed-parent household. Using the same argument as before it becomes clear that the number on the gate is 13, and the ages 9, 2 and 2. Riddle: ok your thhe bus driver there were 20 kids on the bus the first stop 2 kids get on but 5 kids get off.the second stop 3 kids get off but 1 gets on the third stop 8 kids get off but only 3 kids get off. Therefore, when told that one child is the eldest, the census-taker concludes that the correct solution is 'B'. In case 'A', there is no 'eldest child': two children are aged six (although one could be a few minutes or around 9 to 12 months older and they still both be 6). Melissa & Doug The Wheels on the Bus Sound Puzzle - School Bus Puzzle, Wooden Puzzle For Kids and Toddlers Ages 2+. Only two sets of possible ages add up to the same totals: This gives the following triplets of possible solutions īecause the census taker knew the total (from the number on the gate) but said that he had insufficient information to give a definitive answer, there must be more than one solution with the same total. The prime factors of 72 are 2, 2, 2, 3, 3 in other words, 2 × 2 × 2 × 3 × 3 = 72 The third stop the bus driver picks up 8 more passengers and 25 gets off. The second stop the bus driver picks up 10 more passengers and 12 gets off. And at the bus drivers last stop, the bus driver picks up 7 people and. At the third stop, the bus driver picks up 5 people and drops of no people. At the second stop, the bus driver drops of 2 people and picks up 1 person. their ages adding up to today's date, or the eldest being good at chess ).Īnother version of the puzzle gives the age product as thirty–six, which leads to a different set of ages for the children. Theres a bus driver who makes it first stop picks up 5 passengers. At the first stop, the bus driver picks up 3 people and drops off none. The problem can be presented in different ways, giving the same basic information: the product, that the sum is known, and that there is an oldest child (e.g. At your first stop, you pick up 29 people. The woman enters her house, but before slamming the door tells the census taker, "I have to see to my eldest child who is in bed with measles." The census taker departs, satisfied. The sum of their ages is the number on this gate." The census taker does some calculation and claims not to have enough information. She says, "I have three children and the product of their ages is seventy–two. The Ages of Three Children puzzle is a logic puzzle which on first inspection seems to have insufficient information to solve, but which rewards those who persist and examine the puzzle critically.Ī census taker approaches a woman leaning on her gate and asks about her children. Please introduce links to this page from related articles try the Find link tool for suggestions. This article is an orphan, as no other articles link to it.
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