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Tom is years older than twice the age of his sister. The sum of their ages is . How old is Tom, and how old is his sister?
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Q. Tom is years older than twice the age of his sister. The sum of their ages is . How old is Tom, and how old is his sister?
- Define Variables: Let represent the sister's age. Then, Tom's age can be represented as , since Tom is years older than twice his sister's age.
- Write Sum Equation: The sum of their ages is given as . We can write this as an equation: .
- Combine Like Terms: Combine like terms in the equation: .
- Simplify Equation: Simplify the equation: .
- Isolate Term: Subtract from both sides of the equation to isolate the term with : .
- Calculate Value: Calculate the value on the right side of the equation: .
- Solve for x: Divide both sides of the equation by to solve for x: .
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