# 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?

$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. ### More math articles ### What people say about "Ratio, Proportion and Percentages Puzzle - Challenge 30"? No one replied yet. X 30% OFF Limited time only! Save Over 30% SAVE$5

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