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
- Math Tutor Online: Practice Guide
- TExES Core Subjects Math- Test Day Tips
- 5th Grade TCAP Math Worksheets: FREE & Printable
- Treasure Hunt in Geometry: How to Navigate Through Polygons’ Scale Drawings
- 6th Grade TNReady Math Worksheets: FREE & Printable
- How to Apply for College: Complete Guide
- Perimeters and Areas of Squares
- 3rd Grade PARCC Math FREE Sample Practice Questions
- 3rd Grade Scantron Math Worksheets: FREE & Printable
- How to Do Percentage Calculations? (+FREE Worksheet!)
What people say about "Algebra Puzzle – Challenge 35 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.