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in Quadratic Equations by (43.0k points)
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John and Jivanti together have 45 marbles. Both of them lost 5 marbles each and the product of the number of marbles they have now is 124. Represent this situation in the form of quadratic equation. 

A) (x – 5) (x – 40) = 124 

B) (x + 5) (40 + x) + 124 = 0 

C) (x – 5) (40 – x) = 124 

D) (5 + x) (40 – x) = 124

2 Answers

+1 vote
by (57.0k points)
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Best answer

Correct option is (C) (x – 5) (40 – x) = 124

Given that John and Jivanti together have 45 marbles.

Let John have x marbles then Jivanti have (45 - x) marbles.

After losing 5 marbles each, John have (x - 5) marbles and Jivanti have (45 - x - 5) or (40 - x) marbles.

\(\therefore\) Product of the number of marbles after losing 5 marbles each = (x - 5) (40 - x).

But given that it is 124.

\(\therefore\) (x - 5) (40 - x) = 124 which represent the given situation.

+1 vote
by (43.3k points)

Correct option is C) (x – 5) (40 – x) = 124

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