If you happen to be viewing the article If S were twice as old as he is, He would be 40 years older than J. J is 10 years younger than S. How old is S? ? on the website Math Hello Kitty, there are a couple of convenient ways for you to navigate through the content. You have the option to simply scroll down and leisurely read each section at your own pace. Alternatively, if you’re in a rush or looking for specific information, you can swiftly click on the table of contents provided. This will instantly direct you to the exact section that contains the information you need most urgently.
Time for some age math! If S were twice as old, he’d be 40 years older than J. And, by the way, J is 10 years younger than S. What’s S’s actual age?
If S were twice as old as he is, He would be 40 years older than J. J is 10 years younger than S. How old is S?
S is 30 years old.
Explanation
Let’s denote S as the current age of S and J as the current age of J.
Given that if S were twice as old as he is, he would be 40 years older than J, we can express this as an equation:
2S = J + 40
Also, it is mentioned that J is 10 years younger than S:
J = S−10
Now, we can substitute the second equation into the first one:
2S = (S−10) + 40
Simplify the equation:
2S = S+30
Subtract S from both sides:
S=30
So, the current age of S is 30 years.
Article continues below advertisement
System of Linear Equations
A system of linear equations is a collection of two or more linear equations involving the same variables. A linear equation is an equation of the form ax + by = c, where a, b, and c are constants, and x and y are variables.
For example, the system of equations below is a system of linear equations in two variables:
x + 2y = 5
3x – y = 1
The solution to a system of linear equations is a set of values for the variables that makes all of the equations in the system true. There are three possible cases for the solution of a system of linear equations:
- One unique solution: This means there is exactly one set of values for the variables that makes all of the equations in the system true.
- No solution: This means there is no set of values for the variables that makes all of the equations in the system true.
- Infinitely many solutions: This means there are infinitely many sets of values for the variables that make all of the equations in the system true.
There are many different methods for solving systems of linear equations, including:
- Substitution method: This method involves solving one equation for one variable in terms of the other variable, and then substituting this expression into the other equation.
- Elimination method: This method involves adding or subtracting the equations together in such a way that one of the variables is eliminated from one of the equations.
- Gaussian elimination: This method is a systematic way of using elimination to reduce the system of equations to a triangular form, which can then be easily solved.
- Matrix methods: These methods involve representing the system of equations as a matrix and then using matrix operations to solve the system.
The method that is best for solving a particular system of linear equations depends on the size and complexity of the system.
Thank you so much for taking the time to read the article titled If S were twice as old as he is, He would be 40 years older than J. J is 10 years younger than S. How old is S? written by Math Hello Kitty. Your support means a lot to us! We are glad that you found this article useful. If you have any feedback or thoughts, we would love to hear from you. Don’t forget to leave a comment and review on our website to help introduce it to others. Once again, we sincerely appreciate your support and thank you for being a valued reader!
Source: Math Hello Kitty
Categories: Math
