Question

Rahul and Rohan have 45 marbles together. After losing 5 marbles each, the product of the number of marbles they both have now is 124. How to find out how many marbles they had to start with.​

Answer 1

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✎the number of marbles Rahul had be x.

Then the number of marbles Rohan had =$45 – x.$

The number of marbles left with Rahul after losing 5 marbles =$x – 5$

The number of marbles left with Rohan after losing 5 marbles =$45 – x – 5 = 40 – x$

The product of number of marbles = 124

$(x – 5) (40 – x) = 124$

$40x – x^2 – 200 + 5x = 124$

$– x^2 + 45x – 200 = 124$

$x^2 – 45x + 324 = 0$

This represents the problem mathematically.✓✓