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
- How to Solve Word Problems of Calculating Profit
- FREE 7th Grade MEAP Math Practice Test
- How to Apply Comparison, Ratio, and Root Tests
- A Step into The World of Calculus: Rules of Differentiation
- How to Compare Numbers Up to a Billion: A Step-by-Step Guide
- The Ultimate HiSET Math Course (+FREE Worksheets & Tests)
- Using a Fraction to Write down a Ratio
- The Ultimate ISEE Lower Level Math Formula Cheat Sheet
- Decimals in Action: How to Master Multiplication and Division
- Estimating and Rounding
What people say about "Algebra Puzzle – Challenge 33 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.