Ratio, Proportion and Percentages Puzzle – Challenge 30
This is a perfect math puzzle for those who love challenging their brain. The solution is also provided.
Challenge:
The product of two numbers is 216 and their sum is 35. What is their difference?
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 19.
Let x be the first number and y the next number. Therefore:
\(xy = 216\) and \(x + y = 35\). Solve the second equation for x:
\(x + y = 35 → x = 35 – y\)
Replace the value of x in the second equation with x in the first equation.
\(xy = 216 → (35 – y) y = 216 →35y – y^2 = 216 →\)
\(y^2 – 35y + 216 = 0\)
Factorize the polynomial: \((y – 8) (y – 27) = 0\)
\(y = 8\) or \(y = 27\)
The difference is 19.
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 Students
Original price was: $24.99.$14.99Current price is: $14.99.
Satisfied 92 Students
Original price was: $24.99.$15.99Current price is: $15.99.
Satisfied 125 Students
Related to This Article
More math articles
- The Ultimate MCAP Algebra 1 Course (+FREE Worksheets)
- How to Use Expanded Form to Multiply One-Digit Numbers By 3-digit or 4-digit Numbers
- How is the GED Math Scored?
- How to Score High in SAT Math?
- A Comprehensive Collection of Free TABE Math Practice Tests
- How to Use Models to Compare Fractions?
- How to Graph Transformation on the Coordinate Plane: Dilation?
- 10 Most Common 6th Grade PSSA Math Questions
- How to Factor Numbers? (+FREE Worksheet!)
- How to Estimate Products of Mixed Numbers
What people say about "Ratio, Proportion and Percentages Puzzle – Challenge 30 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.