Ratio, Proportion and Percentages Puzzle – Challenge 30

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!

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.

Related to "Ratio, Proportion and Percentages Puzzle – Challenge 30"

Other Topics Puzzle – Challenge 100
Other Topics Puzzle – Challenge 100
Other Topics Puzzle – Challenge 99
Other Topics Puzzle – Challenge 99
Other Topics Puzzle – Challenge 98
Other Topics Puzzle – Challenge 98
Other Topics Puzzle – Challenge 97
Other Topics Puzzle – Challenge 97
Other Topics Puzzle – Challenge 96
Other Topics Puzzle – Challenge 96
Other Topics Puzzle – Challenge 95
Other Topics Puzzle – Challenge 95
Other Topics Puzzle – Challenge 94
Other Topics Puzzle – Challenge 94
Intelligent Math Puzzle – Challenge 93
Intelligent Math Puzzle – Challenge 93
Intelligent Math Puzzle – Challenge 92
Intelligent Math Puzzle – Challenge 92
Intelligent Math Puzzle – Challenge 91
Intelligent Math Puzzle – Challenge 91

Leave a Reply

Your email address will not be published. Required fields are marked *