Assigntment if Soluing Reallife Problems with simultanecus Equations (1) A schcol buys 5 book and 3 pens for \( k 45 \). Ansther schoul byys 3 books and 2 pens for \( k 29.00 \) Find the price of each bcok and pen. (2) A father is iwice as old as his son. In 5 years the sum of the ages will be 65 . Find their currer ages. (3) Find twu numbers whase sumand differenc is 4 .

When tackling problems involving simultaneous equations, it’s super helpful to set up your equations clearly. For the school supplies problem, let B represent the price of a book and P represent the price of a pen. From the information given, you can create two equations: 1) \( 5B + 3P = 45 \) 2) \( 3B + 2P = 29 \) Solving these will lead you to the exact prices of the book and pens—easy peasy! In the age problem, you can express the father's age as F and the son’s age as S. The equations will look something like this: 1) \( F = 2S \) 2) \( F + S + 10 = 65 \) By substituting the first equation into the second, you can find their current ages. Just remember to keep track of your equations, and you’ll solve it in no time!