John and jivanti both have 45 Marbles in total both lose 55 Marbles and now they have 124 as the product of Marbles we would like to know how many Marbles they had in beginning
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Given John and Jivanti together have 45 marbles
Let the number of Marbles John had be= x
Then the number of marbles jivanti had= 45-x
Both of them lost 5 Marbles each
Therefore, the number of marbles John had= x-5
The number of marbles jivanti had= 45-x-5= 40-x
Now product of the number of Marbles =124
Therefore , (x-5)(40-x)=124
40- x²-200+5x=124
-x²+45x-200-124=0
x² -45x+324=0. (Multiplying by(-1))
By factorisation method
x²-36x-9x+324=0
x(x-36) - 9(x-36)=0
(x-36)(x-9)=0
x=36 or x= 9
When John has 36 Marbles Jivanti has = 45 - x = 45 - 36 = 9 marbles
When John has 9 Marbles Jivanti has= 45 - x = 45 - 9 = 36 marbles
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