Algebra Puzzle – Challenge 55
Who can solve this great math puzzle? This is for smart people who love teasing their brains with math challenges!
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: $16.99.$11.99Current price is: $11.99.
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.$19.99Current price is: $19.99.Original price was: $29.99.$14.99Current price is: $14.99.Original price was: $29.99.$14.99Current price is: $14.99.Satisfied 1 StudentsOriginal price was: $24.99.$14.99Current price is: $14.99.Satisfied 92 StudentsOriginal price was: $24.99.$15.99Current price is: $15.99.Satisfied 125 Students
Related to This Article
More math articles
- Full-Length 6th Grade SBAC Math Practice Test
- FTCE General Knowledge Math Formulas
- Using Diagrams to Model and Solve Equations
- How to Simplify Radical Expressions? (+FREE Worksheet!)
- The Ultimate PSAT 8/9 Math Formula Cheat Sheet
- FREE 8th Grade NYSE Math Practice Test
- How long Is the SHSAT Test?
- Reciprocal Identities
- The Unit Circle
- 7th Grade MEAP Math Practice Test Questions
What people say about "Algebra Puzzle – Challenge 55 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.