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.Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124 .
From the quadratic equation to find how many marbles they had to start with, if John had x marbles.
D: 27, 18
John had x marbles and John and Jivanti together have 45 marbles
Then Jivanti has (45-x) marbles
If they both lost 5 marbles then now,
John has =(x-5) marbles and
Jivanti has =(45-x-5)=(40-x) marbles
By the problem,
⇒x2-36x-9x+324=0, doing middle term factor
We know that if the product of two numbers is zero then at least one of them is zero.
If John has =36 marbles then Jivanti has =45-36=9 marbles
And if John has =9 marbles then Jivanti has =45-9=36 marbles
Hence the correct option is (A).