Question

Hey Users.


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 .


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Answer 1

Answer:

Let the number of marbles John had = x Then, the number of marbles Jivanti had = (45 – x). Hence, the number of marbles John had = 36 and the number of marbles Jivanti had = 45 - 36 = 9.

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Answer 2

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$The \: number \: of \: marbles \: Jivanti \: \\ had \: =45−x−5=40−x$

$Now \: product \: of \: the \: number \ \\ : of \: Marbles  \: =124$

$∴(x−5)(40−x)=124$

$40x−x²−200+5x=124$

$−x²+45x−200−124=0$

$x²−45x+328=0 --- (Multiplying by(-1))$

$By \: factorization \: method$

$x2−36x−9x+324=0$

$x(x−36)−9(x−36)=0$

$(x−36)(x−9)=0$

$x=36 or x=9$

$When \: John \: has  \: 36 Marbles,$

$Jivanti \: has =45−x=45−36=9 marbles$

$When \: John \: has \:  9 \:  Marbles \: and \: \\ Jivanti$

$has =45−x=45−9 \\ = \: 36 marbles$