Q. 3 A4.0( 9 Votes )

Represent the following situations mathematically:

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.

Answer :

Let ‘x’ be the number of marbles John had.

Jivanti will have 45 − x marbles.


[ the total number of marbles is 45]


As both of them lost 5 marbles each; marbles they now have will be x − 5 and 40 − x respectively.


Product of the number of marbles = (x − 5) (40 − x)


40x − x2 − 200 + 5x = 124 [ the product is 124]


x2 − 45x + 324 = 0


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