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Represent the following situations mathematically: (i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.

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one month ago Anand Kumar Pandey
1372 Points
```							Dear StudentLet us say,the number of marbles John have = x.Therefore,number of marble Jivanti have = 45 - xAfter losing 5 marbles each,Number of marbles John have = x - 5Number of marble Jivanti have = 45 - x - 5 = 40 - xGiven that the product of their marbles is 124.∴ (x - 5)(40 - x) = 124⇒ x^2 – 45x + 324 = 0⇒ x^2 – 36x - 9x + 324 = 0⇒ x(x - 36) -9(x - 36) = 0⇒ (x - 36)(x - 9) = 0Thus, we can say,x - 36 = 0 or x - 9 = 0⇒ x = 36 or x = 9Therefore, If, John's marbles = 36,Then, Jivanti's marbles = 45 - 36 = 9And if John's marbles = 9,Then, Jivanti's marbles = 45 - 9 = 36Thanks
```
one month ago
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