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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 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.
What is the product of 7and 26?
182.
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.
