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

Hey there !!

Given, John and Jivanti together have number of marbles = 45

After losing of 5 marbles by each of them, number of marble = 45 – 5 – 5 = 45 – 10 = 35

Let us assume, John has x marbles

Hence; marbles with Jivanti = 35 – x

So, According to the question, product of marbles after loss = 124....


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Answer 2

Let the marbles with John be x Then the marble with Jivanti are (45 - x)

Marbles left after both lost 5 marbles each will be x - 5 and 45 - x - 5

By the question

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

40x - x² - 200 + 5x = 124

x² - 45x + 324 = 0

Which is the quadratic equation representing the above equation and the number of marbles John had must satisfy this equation