3. Find two numbers whose sum is 27 and product is 182. A Find two consecutive positive integer sum of whose
Answers
Answer:
Let the first number be x and the second number is 27 - x. It is given that the product of these numbers is 182. Therefore, the numbers are 13 and 14.
Answer:
Let the first number be x and the second number is 27 - x. It is given that the product of these numbers is 182. Therefore, the numbers are 13 and 14.
step by step explanation :
Let the first number be x and the second number is 27 - x.
Therefore, their product = x (27 - x)
It is given that the product of these numbers is 182.
Therefore, x(27 - x) = 182
⇒ x2 – 27x + 182 = 0
⇒ 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
⇒ 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.