Work Age Problems Flashcard

Front

What is a work age problem?

Back

A work age problem is a type of mathematical problem that involves determining the ages of individuals based on given relationships and their combined ages.

Front

If Mary is 3 years older than her sister and their combined age is 25, how do you set up the equation?

Back

Let Mary's age be M and her sister's age be S. The equations are: M = S + 3 and M + S = 25.

Front

How do you solve for Mary's age if her sister's age is represented as S?

Back

Substituting S into the combined age equation: (S + 3) + S = 25, which simplifies to 2S + 3 = 25.

Front

What is the first step in solving the equation 2S + 3 = 25?

Back

Subtract 3 from both sides to isolate the term with S: 2S = 22.

Front

What do you do after isolating 2S = 22?

Back

Divide both sides by 2 to find S: S = 11.

Front

If S = 11, how do you find Mary's age?

Back

Substitute S back into the equation for Mary's age: M = S + 3, so M = 11 + 3 = 14.

Front

In the problem where Alex is twice as old as his brother and their combined age is 36, how do you express Alex's age?

Back

Let Alex's age be A and his brother's age be B. The equations are: A = 2B and A + B = 36.

Front

How do you solve for Alex's age in the equation A + B = 36?

Back

Substituting A into the combined age equation: 2B + B = 36, which simplifies to 3B = 36.

Front

What is the solution for B in the equation 3B = 36?

Back

Divide both sides by 3: B = 12.

Front

If B = 12, how do you find Alex's age?

Back

Substitute B back into the equation for Alex's age: A = 2B, so A = 2 * 12 = 24.