Question

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

Amswer is attached.

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Answer 2

Given:-

• jonh and jivanti together have 45 marbles.both of them lost 5 marble.
• The product of the number of marbles they now have is 124 .

To find:-

• Find how many marbles had to start John had X marble.

Solutions:-

• Let the number of john's marbles be x.

Therefore,

Number of jivanti's marble = 45 - x

After losing 5 marble,

Number of john's marbles = x - 5

Number of jivanti's marbles = 45 - x - 5 = 40 - x

The product of the number of marbles is 124.

Therefore,

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

=> 40x - x² - 200 + 5x = 124

=> x² - 45x + 200 = - 124

=> x² - 45x + 324 = 0

=> x² - 36x - 9x + 324 = 0

=> x(x - 36) - 9(x - 36) = 0

=> (x - 36) (x -9)

=> x - 36 = 0 or x - 9 = 0

=> x = 36 or x = 9

The number of john's marbles = 36

Thus, the number of jivanti's marbles = 45 - 36 = 9

Number of john's marbles = 9

Thus, number of jivanti's marbles = 45 - 9 = 36.