Ratio, Proportion and Percentages Puzzle – Challenge 30
Ratio, Proportion and Percentages Puzzle - Challenge 30 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
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?
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The correct answer is 19.
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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 to 35y + 216 = 0)
Factorize the polynomial: ((y, 8) (y, 27) = 0)
(y = 8) or (y = 27)
The difference is 19.
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