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Answers
Answer:
John had 9 marbles and Jivanti had 36 marbles.
OR,
John had 36 marbles and Jivanti had 9 marbles.
Step-by-step explanation:
Let John had x marbles.
Jivanti had = y marbles
The number of marbles Jivanti had y = 45-x
After losing 5 marbles each,
left marbles of John = x-5
Jivanti = 45-x-5 = 40-x
A/Q,
(x-5)(40-x) = 124
=> 40x - 200 - x² + 5x = 124
=> - x² + 45x - 200 - 124 = 0
=> -x² + 45x - 324 = 0
=> -x² + 9x + 36x - 324 = 0
=> -x(x - 9) + 36(x - 9) = 0
=> (x - 9)(36 -x) = 0
=> x = 9 OR, x = 36
If x = 9, y = 45 - x = 45 - 9 = 36.
If x = 36, y = 45 - x = 45 - 36 = 9.
Therefore,
John had 9 marbles and Jivanti had 36 marbles.
OR,
John had 36 marbles and Jivanti had 9 marbles. ANS.