0
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.
Still curious? Ask our experts.
Chat with our AI personalities
Rafa
Devin
Ezra
Add your answer:
Earn +20 pts
What two consecutive numbers make a product of 182?
The numbers are 13 and 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
What is the square root of 182?
13.490737563232
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.
