Math Problem Statement
Five years ago, John’s age was half of what it will be in eight years. How old is he now?
Solution
Let John's current age be .
According to the problem, five years ago, John's age was half of what it will be in eight years. This gives the following equation:
Step 1: Eliminate the fraction
Multiply both sides of the equation by 2 to eliminate the fraction:
Simplify:
Step 2: Solve for
Subtract from both sides:
Now, add 10 to both sides:
Conclusion:
John is currently 18 years old.
Would you like further details or have any questions?
Here are 5 related questions:
- If John's age five years ago was a quarter of what it will be in ten years, how old is he now?
- What will John's age be in 15 years?
- If John's age in 3 years is twice his age 10 years ago, how old is he now?
- How old was John two years ago if he will be 30 in five years?
- If the sum of John's age and his brother's age is 40, and John is twice as old as his brother, how old are they?
Tip: When solving word problems, start by clearly identifying the unknowns and setting up an equation that translates the given information into a mathematical form.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
x - 5 = 1/2(x + 8)
Solving linear equations
Theorems
Basic properties of equality
Distributive property
Suitable Grade Level
Grades 6-8
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