Algebra Puzzle – Challenge 33
Who can solve this great math challenge? It is for those who enjoy challenging their brains!
Challenge:
12 years is the difference between Alex’s age and Ron’s age. If the ratio of their ages is 3:5, what is the sum of their ages?
A- 20
B- 30
C- 48
D- 60
E- 66
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 C.
Let A be Alex’s age and R be Ron’s age. The ratio of their ages is 3 to 5 and the difference between their ages is 12 years. Therefore, \(R = A + 12\) and \(A = \frac{3}{5} R\)
Replace A in the first equation with its value in the second equation.
\(R = A + 12 → R = \frac{3}{5} R + 12 → \frac{2}{5} R = 12 → R = 30\) and \(A = 18\)
The sum of their ages is 48.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
- 3rd Grade IAR Math Practice Test Questions
- Overview of the ASVAB Mathematics Test
- How to Use Models to Compare Fractions?
- Overview of the TSI Mathematics Test
- Connecting Limits at Infinity and Horizontal Asymptotes
- Detour of Variable Changes: A Complete Exploration of Related Rates
- 6th Grade WY-TOPP Math Worksheets: FREE & Printable
- Unlocking Solutions: A Step-by-Step Guide to How to Solve Non-linear Equations by Substitution
- Subtraction of Four-Digit Numbers
- Overview of the CBEST Mathematics Test
What people say about "Algebra Puzzle – Challenge 33 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.