find two numbers whose sum is 72 and product is 182
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find two numbers whose sum is 72 and product is 182
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Answer:
Step-by-step explanation:
Solution :-
Let the required 1st number be x.
And the 2nd number be (27 - x).
According to the Question,
⇒ x(27 - x) = 182
⇒ 27x - x² = 182
⇒ x² - 27x + 182 = 0
⇒ x² - 27x + 182 = 0
⇒ x² - 13x - 14x + 182 = 0
⇒ x(x - 13) - 14(x - 13) = 0
⇒ (x - 13) (x - 14) = 0
⇒ x - 13 = 0 or x - 14 = 0
⇒ x = 13 or x = 14
Hence, the required numbers are 13 and 14.
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