Algebra Puzzle – Challenge 55

Who can solve this great math puzzle? This is for smart people who love teasing their brains with math challenges!

[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"]

Algebra Puzzle – Challenge 55

Challenge:

Jason’s age is  \(\frac{5}{8}\) of Alice’s age now. In ten years, the sum of Jason’s and Alice’s age will be 72. How old will Alice be in 5 years?

A- 20

B- 30

C- 32

D- 37

E- 42

The Absolute Best Book to Challenge Your Smart Student!

Original price was: $29.99.Current price is: $16.99.
Satisfied 123 Students

The correct answer is D.

Let J be the Jason’s age and A be the Alice’s age. Then:
J =\( \frac{5}{8}\) A
In 10 years: (J + 10) + (A + 10) = 72
Replace J with its value in the first equation:
Then: \((\frac{5}{8} A + 10) + (A + 10) = 72 →1 \frac{5}{8} A = 52 → A = 32\)
In 5 years, Alice will be 37. (32 + 5 = 37)

The Absolute Best Books to Ace Algebra

Original price was: $29.99.Current price is: $16.99.

Related to This Article

What people say about "Algebra Puzzle – Challenge 55 - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.

Leave a Reply

X
51% OFF

Limited time only!

Save Over 51%

Take It Now!

SAVE $55

It was $109.99 now it is $54.99

The Ultimate Algebra Bundle: From Pre-Algebra to Algebra II