find two numbers whose sum is 27 and product is 182
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Here,
Assume,
First number be p
Also,
Second number be 27 - p
Now,
According to the situation we have,
p(27 - p) = 182
27p - p² = 182
p² - 27p + 182 = 0
p² - 27p + 182 = 0
Now,
After splitting the middle term we get,
p² - 13p - 14p + 182 = 0
p(p - 13) - 14(p - 13) = 0
(p - 13)(p - 14) = 0
p - 13 = 0
p = 13
Or,
p - 14 = 0
p = 14
p = 13 or p = 14
Therefore,
Numbers are 13 & 14
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