how can the numbers 45 be divided into two parts so that 4 times one part is 9 less than 5 times the other?

Question

Algebraic eqations

Answer 1

Shaina, I am going to give you a LESSON--which I want you to STUDY to LEARN how to do problems like this. That has to be the objective of your time in Algebra class. You, and in fact all students, need to work toward becoming self-sufficient in setting up problems.

 

Let x + y =45 (these are the two parts of the number [singular] 45] and

4x = 5y - 9.

 

That's a system of two linear equations, which I believe you know how to solve. Substitution technique comes to mind.

Always remember to check your answers.