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Find two numbers whose sum is 27 and product is 182.
Let us find the 2 numbers whose sum is 27 and product is 182.
For this, let us consider one of the numbers to be x. Then the other number will be 27 - x.
The product of the two numbers is given as 182. This means in terms of x this can be expressed as, x(27 - x) = 182
This can be written in the form of the following quadratic equation:
x(27 - x) = 182
x(27 - x) = 182
27x - x2 = 182
27x - x2 - 182 = 0
x2 - 27 x + 182 = 0 [Rearranging the terms and multiplying both sides by negative sign]
x2 - 14x - 13x + 182 = 0
x (x - 14) - 13 (x - 14) = 0
(x -13) (x - 14) = 0
x - 13 = 0 and x - 14 = 0
x = 13 and x = 14
Therefore, the required numbers are 13, 14. In other words, the two numbers whose sum is 27 and product is 182 are 13 and 14.
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Find two numbers whose sum is 27 and product is 182
Class 10 Maths NCERT Solutions Chapter 4 Exercise 4.2 Question 3
The 2 numbers whose sum is 27 and product is 182 are 13 and 14.
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