A man has three children, the oldest of whom is three years older than the median who is three years older than the youngest. The ages of the three children total 57. How old is the youngest child? Solution If we turn the sentence into an equation we have to: x + (x + 3) + (x + 6) = 57 where x = 16 is the age of the youngest child.
In 1999 the fourth centenary of the birth of Velázquez was celebrated. The year he died is a multiple number of 5, whose tens figure is not a prime number. If all the figures in that number add up to 13, how many years did the great painter live? Solution He lived 61 years. The year he died has to start at 16 and end at 0 or 5.
The hare and the turtle depart from the goal to walk a track in a circular stadium. While the hare goes around and a quarter the turtle only travels a third of a turn. How many laps should each one take to match the goal again? Solution When the turtle reaches the finish line for the first time, the hare is in the third quarter of the stadium, after three laps.
After four days of crossing a cargo ship sank and only part of the crew could be saved in the lifeboat. There they found provisions and water for thirteen days, one liter per person and day. On the third day after the wreck they lost part of the water from a sea stroke and at the end of the fifth day one of the men died.
When I had already gone down 7 of the steps of the staircase that overlooks the street I ran into the neighbor's son who climbed the steps two at a time so that when I still had 4 steps left to get down the boy had already climbed All the stairs. What agility! I thought. For every step that I go under it goes up two.
Agustín, Benito, Carlos, Diego, Esteban and Federico are six collectors of paintings of which two of them are brothers. One day they went to an exhibition together and bought as follows: Agustin bought 1 painting, Benito bought 2, Carlos 3, Diego 4, Esteban 5 and Federico 6 paintings. The two brothers paid the same amount of money for each of the paintings they bought.
Using the numbers from 1 to 9, without changing their order or putting them together and using the basic arithmetic operations: addition, subtraction, multiplication and division, are you able to get 100 as a result? For example in this attempt: 1 - 2 + 3 + 4 + (5 × 6) + (7 × 8) + 9, we get as a result 101 Solution There are many solutions.
Monica's cat is lighter than Sandra's, but more lazy and fat than Josemi's, which is even more lazy than Victoria's, which is thinner than Monica's, which is fatter than Sandra's, which is darker than Victoria's, although Josemi's is less lazy and lighter than Sandra's.
Ames's room was invented by the American ophthalmologist Adelbert Ames, Jr. It is constructed in such a way that when viewed from the front it appears to be a common room of a cubic shape, with a back wall and two lateral sides parallel to each other and perpendicular to the horizontal plane of the floor and ceiling.
When Pepito and his wife sat down to have tea with their sister-in-law and daughter-in-law, each one ate a different number of cakes (no one was left without eating) and in total they devoured eleven. Pepito's wife ate two and sister-in-law four. How many cakes did Pepito eat? Pepito solution ate five cakes. The only way to add the accounts is that Pepito's sister-in-law and daughter-in-law are the same person.
Four rugby players enter an elevator that can carry a maximum of 380 kilos. Paul weighs the most, if each of the others weighs as much as he does, the alarm would stop the elevator. Carlos is the lightest, the elevator could go up to five like him. Ramón weighs 14 kilos less than Pablo and only six less than Jesus weighing 17 kilos more than Carlos.
I have an invoice that tells me that eight astrodeniums, a bartofón, three cartunes and three dosefríos were bought for my company a month and a half ago and we were charged a total of 350 euros. Just one month ago, we have another invoice from the same supplier worth 250 euros for buying five astrodennes, two bartofones, two cartunes and a dosefrio.
In a certain city, in the face of a brutal plague of mice, cats that each hunted the same number of rodents were used. It is known that 1,111,111 were the hunted mice and less than 1,111 the cats involved. Although there was no physical evidence on the exact number of mice that each cat hunted, this data is recorded in the official records.
In this drawing we can see a man who fell asleep with a cup in his hand, and who is leaning on a round table full of books, glasses, writing devices, grapes and some drawing devices ... However, as with All visual anamorphic optical illusions, the hidden motif is not visible to the naked eye the original drawing.
Three friends bought a box full of wine bottles from a street vendor. At the time of making the distribution they saw that the box contained 21 equal bottles of which only 7 were fully filled. There were 7 others that were exactly in the middle and another 7 empty. Despite the scam, they decided to distribute the wine and bottles among all so that each one took the same amount of wine and bottles.
Ana, Carmen and Teresa are three friends who live in neighboring homes. Carmen is the one who lives in the middle house. One of them likes the theater a lot, the other goes by bicycle and the last swim, but we don't know to whom each of the hobbies corresponds. However, a neighbor of the town tells us the following: The one who likes to go by bicycle from time to time takes Teresa's dog for a walk.
We have five rectangles whose sides have the following lengths: 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 although not necessarily in this order. With these five rectangles, we can form a larger square. What is the length of said square? Solution The image shows the square formed by the different rectangles.