sum of two numbers is 27 and their product is 182. what are those
Answers
Answered by
1
Say, the numbers are x and y
so, x + y = 27
or, xy + y² = 27y........(1)
and, xy = 182.............(2)
(1)-(2)
y² = 27y - 182
or, y² - 27y + 182 = 0
or, y² - 14y - 13y + 182 = 0
or, y(y-14) -13 (y-14) = 0
or, (y-14)(y-13) = 0
So, the numbers are 13 and 14
so, x + y = 27
or, xy + y² = 27y........(1)
and, xy = 182.............(2)
(1)-(2)
y² = 27y - 182
or, y² - 27y + 182 = 0
or, y² - 14y - 13y + 182 = 0
or, y(y-14) -13 (y-14) = 0
or, (y-14)(y-13) = 0
So, the numbers are 13 and 14
Similar questions