Brains Busters Solve each problem. Kevin is three times as...

Brains Busters Solve each problem.
Kevin is three times as old as Bob. Three years ago the sum of their ages was 22 yr. How old is each now? (Hint: Write an expression first for the age of each now and then for the age of each three years ago.)

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Key Concepts

Solving Linear Equations

After formulating the equation, the next key concept is solving the linear equation to find the unknown value. This process typically involves isolating the variable using algebraic operations, such as addition, subtraction, multiplication, or division, to derive the solution for the variable defined earlier.

Equation Formulation

Equation formulation is the process of translating information described in a word problem into algebraic expressions or equations. This involves using the relationships and constraints provided, such as proportional relationships or sums of ages, to create an equation that accurately represents the problem's conditions.

Variable Representation

This concept involves assigning a variable to an unknown value or quantity—in this case, representing each person's current age with algebraic symbols. It is a crucial step in converting a word problem into an algebraic one, as it defines what is unknown and sets the stage for forming equations that model the problem.

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