# Quadratic Equations

#### Question 2:

(i) 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. Find out how many marbles they had to start with.

(ii) A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs 750. Find out the number of toys produced on that day.

#### Answer:

(i) Let the number of John’s marbles be *x*.

Therefore, number of Jivanti’s marble = 45 − *x*

After losing 5 marbles,

Number of John’s marbles = *x* − 5

Number of Jivanti’s marbles = 45 − *x* − 5 = 40 − *x*

It is given that the product of their marbles is 124.

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