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!
[include_netrun_products_block from-products="product/ged-math-test-prep-in-30-days-complete-study-guide-and-test-tutor-for-ged-mathematics-the-ultimate-book-for-beginners-and-pros-two-practice-tests/" product-list-class="bundle-products float-left" product-item-class="float-left" product-item-image-container-class="p-0 float-left" product-item-image-container-size="col-2" product-item-image-container-custom-style="" product-item-container-size="" product-item-add-to-cart-class="btn-accent btn-purchase-ajax" product-item-button-custom-url="{url}/?ajax-add-to-cart={id}" product-item-button-custom-url-if-not-salable="{productUrl} product-item-container-class="" product-item-element-order="image,title,purchase,price" product-item-title-size="" product-item-title-wrapper-size="col-10" product-item-title-tag="h3" product-item-title-class="mt-0" product-item-title-wrapper-class="float-left pr-0" product-item-price-size="" product-item-purchase-size="" product-item-purchase-wrapper-size="" product-item-price-wrapper-class="pr-0 float-left" product-item-price-wrapper-size="col-10" product-item-read-more-text="" product-item-add-to-cart-text="" product-item-add-to-cart-custom-attribute="title='Purchase this book with single click'" product-item-thumbnail-size="290-380" show-details="false" show-excerpt="false" paginate="false" lazy-load="true"]
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
- 6th Grade M-STEP Math Worksheets: FREE & Printable
- Cofunction Identities
- How Is the OAR Test Scored?
- How to Decode the Mysteries: A Comprehensive Solution Guide for “FTCE Math for Beginners”
- SIFT Math Formulas
- Best Note-Taking Tablet for College Students
- 4th Grade OST Math Practice Test Questions
- How to Understand Dot Product and Cross-Product
- Unlock the Answers: “GED Math for Beginners” Solution Manual
- Top 10 Tips You MUST Know to Retake the ACCUPLACER Math
What people say about "Algebra Puzzle – Challenge 35 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.