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Let the no. of marbles john had be x

Then the no. of marbles jivanti had = (45-x)

The no. of marbles left with john, when he lost 5 marbles = 45-x-5=40 - x

Therefore their product = (x-5)(40-x)

=40x - x2 -200+5x

=x2+45x-200

So,-x2 + 45x-200=124. (given , product =124)

so, x2-45x+324=0

Therefore, the no. of marbles john had , satisfies the quadratic eqn ,

x2-45x+324.

When u will find the value x of this eqn that no. will be the no. of marbles they started with!

Hope it helps

Step-by-step explanation: