
Work Age Problems Flashcard
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
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.
2.
FLASHCARD QUESTION
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.
3.
FLASHCARD QUESTION
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.
4.
FLASHCARD QUESTION
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.
5.
FLASHCARD QUESTION
Front
What do you do after isolating 2S = 22?
Back
Divide both sides by 2 to find S: S = 11.
6.
FLASHCARD QUESTION
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.
7.
FLASHCARD QUESTION
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.
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