Question

find the two numbers whose product is 182 and sum is 27

Answer 1

$\rule{200}2$

$\large\bold{\mathtt{QUESTION}}$

➡ Find the two numbers whose product is 182 and sum is 27 .

$\rule{200}2$

$\large\bold{\mathtt{SOLUTION}}$

☯ 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

The numbers are 13 and 14.

$\rule{200}2$