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Q: What four consecutive numbers have the product of 182?

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13 x14 = 182

13 and 14

The numbers are 13 and 14.

The numbers are 13 and 14.

182 = 2 x 7 x 13 so solution is 13 & 14

13 x 14 = 182

The two consecutive even numbers are 180 and 182.

-13*-14 = 182

182/4 = 45.5 so of the four numbers 45 will be the second 44 + 45 + 46 + 47 = 89 + 93 = 182

13 x 14

13 and 14

There are two consecutive even integers: 90 and 92.

184

13 and 14. Also negative 13 and negative 14.

13 x 14 = 182

Let the first number be x and the second number is 27 − x. [As the sum of both the numbers is 27] Therefore, their product = x (27 − x) It is given that the product of these numbers is 182. x (27 – x) = 182 x2 + 27x - 182 = 0 Changing the signs on both sides we get,x2 - 27x + 182 = 0 Factorizing we get , 13 and 14 are the numbers whose sum is 27 and product is 182 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 i.e., 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.

The integers are 13 and 14.

The integers are 180, 182 and 184.

One way to find out is write a formula. Let N and N+1 be the two integers, then N(N+1) = 182 N^2 + N - 182 = 0 This is a quadratic equation. If the factors are not obvious, (N -13)(N + 14) , then use the quadratic formula to find N. The factors tell you there are two possible solutions for N; 13 and -14. Now add 1 to these to get the two consecutive integers. 13 & 14 will work and -14 & -13 will work.

The first integer is 44.

182.

Either use trial and error, or the quadratic formula, solving the following for x: x(x+1)=182Either use trial and error, or the quadratic formula, solving the following for x: x(x+1)=182Either use trial and error, or the quadratic formula, solving the following for x: x(x+1)=182Either use trial and error, or the quadratic formula, solving the following for x: x(x+1)=182

182.

These numbers do: 1, 2, 7, 13, 14, 26, 91, 182.

1, 2, 7, 13, 14, 26, 91, 182