Age Tasks That Will Put Your Mind in Order After the Holidays

Age problems are often found in school textbooks. Even at the Olympiads in mathematics, talented children sometimes have to find out how old this or that hero of their problem is. Are such tasks so difficult?

Today's edition. "Site" He offers several problems about age, the solutions of which will not be for everyone. Especially after the holidays. And such a tonic warm-up for the mind will be very pleasant.



Age-related challenges

1. According to the conditions of the first task, we know that father and son are 66 years old together. The age of the father is the same as that of the son, but in reverse. How old is who?
   
   
   
   
2. The second task is to find the age of two sisters: Ani and Katya. It is known that a year ago Ana was 8 years old. Katya is 5 years younger than her sister. It is necessary to determine the age of Ani at the moment when Katya reaches her current age.
   
   
   
   
3. Now Kolya is three times younger than Toli. However, after 3 years, Kolya will be only 2 times younger. How old will Kohli be when Tole turns 11? Try not to get confused to answer correctly.
   
   
   
   

Problem-solving

1. From the condition of the problem, it becomes clear that the age of the son is a two-digit number. It is also clear that the numbers 10 and 11 need not be considered. 12 and 21, 13 and 31, 14 and 41 do not suit us either. Here's 15 + 51 = 66. Looks like that's exactly what we need. In this case, the son is 15 years old and the father is 51 years old. But could there be another answer to this problem?
   
   
   
   
2. If a year ago Ana was 8, now she is 9 years old. In this case, Katya 9-5 = 4 years now. And 9-year-old Katya will be already in 5 years. At that time her older sister will be 9 + 5 = 14 years old.
3. We take the age of Koli for, and the age of Toli is 3. Then after 3 years, Koli’s age is + 3, and Toli’s age is 3 + 3. If Kolya is 2 times younger, then 2 (+3) = 3 + 3, from which 2 + 6 = 3 + 3. And so = 6 - 3 = 3. From this we understand that Kole is 3 years old, and Tole 3 * 3 = 9 years. And when Tole turns 11 in 2 years, Kole will only be 5 years old.
   
   
   
   

Quite simple tasks, but you will have to be careful not to get confused in the conditions and give the right answer. After the New Year holidays, this is especially difficult. We hope you were able to complete all the tasks quickly. Is that true? Don't forget to tell in the comments.