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Find the two numbers whose sum is 27and product is 182

Posted by Akshay Nayak 4 years, 9 months ago

CBSE > Class 10 > Mathematics

2 answers

Jatin Sharma 4 years, 9 months ago

Find the probality of getting a doublet in a throw of a pair of dice

1Thank You

Gaurav Seth 4 years, 9 months ago

Let the first number be x and the second number is 27 - x.
Therefore, their product = x (27 - x)
It is given that the product of these numbers is 182.
Therefore, 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
Either x = -13 = 0 or x - 14 = 0
⇒ x = 13 or x = 14
If first number = 13, then
Other number = 27 - 13 = 14
If first number = 14, then
Other number = 27 - 14 = 13
Therefore, the numbers are 13 and 14.

2Thank You

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