Denote their present ages by "V" and "C" respectively. The sum of their present ages is V+ C= 36. In 4 years time Vatha's age will be V+ 4 and Chris's age will be C+ 4. The sum of their ages then will be (V+ 4)+ (C+ 4)= V+ C+ 8. And that will be "twice Vatha's present age: V+ C+ 8= 2V. We already know that V+ C= 36 so V+ C+ 8= 36+ 8= 44= 2V.historywept said:Q: The sum of the present ages of Vatha and Chris is 36. In 4 years time, the sum of their ages will equal twice Vatha's present age. How old are they now?
A: Vatha:22, Chris: 14 (from the back of the textbook, only I'm not sure how to get here)I'm a little stuck with this one. If you could please help me with it, and how to solve problems like this, I'd be very grateful.
The Vatha and Chris Ages problem is a mathematical puzzle that involves solving a system of equations to determine the current ages of two individuals based on a set of clues.
The Vatha and Chris Ages problem was created by mathematician Ed Southall and popularized by the YouTube channel Numberphile in 2017. It is based on a similar problem known as the Cheryl's Birthday problem.
The clues typically involve statements about the ages of Vatha and Chris at different points in time, such as "Vatha was twice as old as Chris 6 years ago" or "In 10 years, Vatha will be 5 times older than Chris." These clues can be translated into equations to help solve the problem.
The solution to the Vatha and Chris Ages problem is that Vatha is currently 25 years old and Chris is 20 years old. This solution can be found by solving the system of equations created from the given clues.
There are many variations of the Vatha and Chris Ages problem, such as changing the ages or adding more individuals to the problem. Some variations also involve solving for the ages of the individuals at a specific point in time rather than their current ages.