Question

33. An industry produces a certain number of toys in a day. On a particular day, the cost
of production of each toy was 9 less than twice the number of toys produced on that
day. The total cost of production on that day was Rs.143.
Based on the above information, answer the following questions:
a) Find the number of toys produced in the industry on that day.
b) What is the cost of each toy?​

Answer 1

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Let us say, first number be x and the second number is 27 – x.

Therefore, the product of two numbers

x(27 – x) = 182

⇒ x2 – 27x – 182 = 0

⇒ x2 – 13x – 14x + 182 = 0

⇒ x(x – 13) -14(x – 13) = 0

⇒ (x – 13)(x -14) = 0

Thus, either, x = -13 = 0 or x – 14 = 0

⇒ x = 13 or x = 14

Therefore, if first number = 13, then second number = 27 – 13 = 14

And if first number = 14, then second number = 27 – 14 = 13

Hence, the numbers are 13 and 14.