Question

58) Find two numbers where
Sum is 27 and Product is
184 :​

Answer 1

Correct question:

Find two numbers whose sum is 27 and Product is 182

Let the 2 numbers be x and y.

★ Given :-

x + y = 27

xy = 182

★ To find :-

x = ?

y = ?

★ Solution :-

x + y = 27

➥ y = 27 - x ------- [Equation 1]

x (y) = 182

⇨ x (27 - x) = 182

➝ 27x - x² = 182

➝ x² - 27x + 182 = 0

➝ x² - 13x - 14x + 182 = 0

➝ x(x - 13) - 14(x - 13) = 0

➝ (x - 14) (x - 13) = 0

☞ (x - 14) = 0 or (x - 13) = 0

➜ x = 14 or 13

So, 14 and 13 are the roots of the equation.

If x = 14,

y = 27 - 14

y = 13

If x = 13,

y = 27 - 13

y = 14

∴ The 2 numbers are 13 and 14