Question

The Product of two consecutive Positive
numbers is 182, find the number.​

Answer 1

Answer:

0

Step-by-step explanation:

Let n be the smaller of the two consecutive integers. Then the other integer is (n+1). We are given that n*(n+1) = 182. Simplify n^2 + n - 182 = 0, Factor left side (n-13)*(n+14) = 0.

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Answer 2

Answer: 13,14

Step-by-step explanation:

Let us assume the numbers to be $x$ and $(x+1)$

Now, according to the question : -

$x(x+1) = 182\\=> x^{2} + x = 182\\=> x^{2} + x - 182 = 0\\=> x^{2} + 14x - 13x - 182 = 0\\=> x(x+14) - 13 (x+14) = 0\\=> (x +14) (x-13) = 0\\=> x = -14 / x = 13$

Now, as x is positive, x should be 13.

Therefore the numbers are 13 and 14 (Ans)