Father A is twice the difference in years of the ages of Father B and Son A, who is one and a half times the age of Son B.Father B is currently twice the age Son A is going to be when Son B will be double the age he is now.All of the ages […]
A ship is twice as old as its boiler when the ship was as old as the boiler is now.The sum of their ages is 21.How old is the boiler, and how old is the ship?HintOnce you get your head around the wording, I think it’s easy enough. Try and write down the equations for
In the fictional, the rat-infested village of Cattatackya (where cats live) last month, each cat killed the same number of rats as every other cat. The total number of rat fatalities (deaths) during the month came to a total of 2117.Less than 50 cats achieved this remarkable number of rat killings. How many cats were
Sarah went to get her driver’s licence. When asked her age, she replied: “My age today is three times what it will be three years from now minus three times what my age was three years ago.” How old is Sarah? AnswerSarah is 18.If she is 18, then three times her age three years from
You have two identical ropes and three mice. Each mouse bites off the rope at a different biting speed. All three biting speeds are constant.Mouse(A) bites off one rope in 60 minutes.Mouse(B) bites off one rope in 90 minutes.Mouse(C) bites off one rope in 180 minutes.You do not have any time or distance measuring tools
There is a 6 foot-wide-alley. Both walls of the alley are perpendicular to the ground. Two ladders, one 10-feet long, the other 12 feet, are propped up from the opposite corners to the adjacent wall, forming an X shape. All four feet of each ladder are firmly touching either the corner or the wall. The
A young man asks his beautiful mathematics teacher her age. She responds, “Today’s date is my age, although before this week is over there will be another day with a date one-fifth of the new age that I will be.” What is the teacher’s sign of the zodiac? AnswerThe teacher is a Pisces. This conversation
Katie went to visit her friends in their apartment building.She took the elevator to the 4th floor to Randy’s apartment.She met Randy and they walked down 2 flights of stairs to Chrissy’s apartment.Then Chrissy, Randy and Katie got in the elevator. They went up and passed 2 floors to meet Scott at his apartment.Scott lives
Three pieces of antique jewellery – a locket, a pin and a ring – have ages whose sum is 310 years. The sum of 2 times the age of the locket 5 years ago and the age of the pin 10 years ago is 240 years. The difference between 3 times the locket’s age in
You are selling snacks for the local school. You know that you sold 4 sodas for every 3 boxes of popcorn. You also know that you sold 1 hot dog for every two sodas. If you didn’t sell anything else, and you sold 45 items, how many sodas, popcorns and hot dogs did you sell?HintIf
Xavier and Rex were playing a game that involved 5 dice. In each turn, they would roll the 5 dice. Each face of the die is worth a different amount of points. On their first 2 shots, they rolled this:Xavier 1: 1, 3, 3, 4, 6 = 177 pointsRex 1: 2, 4, 4, 5, 6
Two great white sharks were boasting about how much they ate. Jaws said to Teeth, “I ate 98 pounds of codfish and half as much shrimp. Then I ate 44 bluefish that weighed 3 pounds each, and for dessert I had a 100-pound boat anchor.”“That’s nothing,” said Teeth, “I gulped down an entire tuna that
Haretown and Tortoiseville are 27 miles apart. A hare travels at 7 miles per hour from Haretown to Tortoiseville, while a tortoise travels at 2 miles per hour from Tortoiseville to Haretown.If both set out at the same time, how many miles will the hare have to travel before meeting the tortoise en route? AnswerThe
Two years ago, a man was offered a motorcycle for $1024, but he declined to buy it. A year later, he was offered the same motorcycle for $640, but again decided not to buy it. A little while after that, he was again offered the motorcycle, this time at $400. Again, he refused to buy
Vampire numbers are the products of two progenitor numbers that when multiplied survive, scrambled together, in the vampire number. Consider one such case: 27×81=2,187. Another vampire number is 1,435, which is the product of 35 and 41. Find others. Answer21×60=1,26015×93=1,3951,234,554,321 x 9,162,361,086 = 11,311,432, 469,283, 552,606 with others that also work.