John and jivanti together have 45 marbles both of them lost 5 marbles each and the product of the number if marbles they now have 124we would like to find out how many marbles they had to start with by method of completing
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=45+5=50
=124*50=6200
=124*50=6200
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Let the marbles with John be x Then the marble with Jivanti are (45 - x)
Marbles left after both lost 5 marbles each will be x - 5 and 45 - x - 5
By the question
(x - 5)(40 - x) = 124
40x - x² - 200 + 5x = 124
x² - 45x + 324 = 0
Which is the quadratic equation representing the above equation and the number of marbles John had must satisfy this equation
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