Question

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.​

Answer 1

Let john have x marbles so, jivanti have 45-x marbles

Now, they lost 5 marbles so,

john have= x-5 marbles

and jivanti have= 40-x

now, Accoding to question

(40-x) (x-5) =124

now, 40x-200-x^2+5x=124

=>-x^2+45x-200=124

=>x^2-45x+200=-124

=>x^2-45x+324=0

Now, by solving it by quadratic formula

We would get the number of marbles john and jivanti had.

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