Algebra Puzzle – Challenge 35
Want to improve your logic and critical thinking? Have a look at this great math puzzle. Let's tease your brain!
Challenge:
The ratio of the ages of Eric and Tara is 2 to 3 and the ratio of the ages of Tara and Marshall is 9 to 7. If the sum of their ages is 66, then how old is Eric?
The Absolute Best Book to challenge your Smart Student!
The correct answer is 18.
Let E be the age of Eric, T be the age of Tara and M be the age of Marshall.
E + T + M = 66
The ratio of E to T is 2 to 3. So:
\(E = \frac{2}{3} T\)
The ratio of T to M is 9 to 7. So:
\(M = \frac{7}{9} T\)
Replace the value of E and M in the first equation with their values in the second and third equations:
\(\frac{2}{3} T + T + \frac{7}{9} T = 66 → \frac{22}{9} T = 66 → T = 27\)
\(E = \frac{2}{3} T ⇒ E = \frac{2}{3} (27) = 18\)
Eric is 18 years old now.
The Absolute Best Books to Ace Algebra
Related to This Article
More math articles
- How to Prepare for the CLEP College Algebra Test?
- How to Solve Function Notation? (+FREE Worksheet!)
- The Ultimate PSAT 8/9 Math Course (+FREE Worksheets)
- 4th Grade NDSA Math Worksheets: FREE & Printable
- Using Distributive Property to Factor Variable Expressions
- 10 Most Common 8th Grade MEAP Math Questions
- 3rd Grade MCAS Math Worksheets: FREE & Printable
- Top 10 6th Grade SBAC Math Practice Questions
- Best Calculator For 11th Grade Students
- How to Master Probability Density Functions
What people say about "Algebra Puzzle – Challenge 35 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.