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.
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
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.