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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.
What else can I help you with?
What two consecutive numbers make a product of 182?
Let the number be n & n+1 ; consecutive Their product (multiplication) is n(n+1) = 182 n^(2) + n = 182 n^(2) + n - 182 = 0 Factor ( n +14)(n - 13) = 0 Hence the numbers are 13, & 14.
What is the answer to 182 percent in a fraction in simplest form?
182/100 = 91/50 or 1 and 41/50
What two numbers when multiplied equal 182?
2*91 13*14 7*26 1*182
Find two consecutive positive integers sum of whose squre is 365?
x^2 + (x+1 )^2 =365 x^2 +x^2 + 2x +1 =365 2x^2 + 2x = 364 x^2 + x = 182 = (x- 13)(x + 14) x =13, so integers are 13 and 14, squares 169 and 196, which total 365.
What is the square root of 182?
13.490737563232
Find two consecutive negative integers whose product is 182?
-13*-14 = 182
What is the distance between -182 and 265 on a number line?
To find the distance between -182 and 265 on a number line, you subtract the smaller number from the larger number. The calculation is |265 - (-182)|, which simplifies to |265 + 182|. This equals |447|, so the distance between -182 and 265 is 447 units.
Find 2 consecutive numbers with a product of 182?
182 = 2 x 7 x 13 so solution is 13 & 14
What two consecutive numbers have a product of 182?
13 x14 = 182
What is 13times somthing t is 182?
To find the number that, when multiplied by 13, equals 182, you can divide 182 by 13. Doing the calculation, 182 ÷ 13 equals 14. Therefore, the answer is 14, as 13 times 14 equals 182.
What two consecutive numbers make a product of 182?
Let the number be n & n+1 ; consecutive Their product (multiplication) is n(n+1) = 182 n^(2) + n = 182 n^(2) + n - 182 = 0 Factor ( n +14)(n - 13) = 0 Hence the numbers are 13, & 14.
The product if two consecutive integers is 182?
13 x 14 = 182
Find two consecutive integers that have a product of 182?
13 and 14. Also negative 13 and negative 14.
What is the product of 7and 26?
182.
What four consecutive numbers have the product of 182?
There is no set of four consecutive numbers with a product of 182. There is a set of four consecutive numbers with a sumof 182: 9, 20, 21 and 22.
When 40 percent of a number is added to the number the resut is 182 what is the number?
222
What is the product of the prime factors of 1274?
182.
