Question

find two numbers whose sum is 28 and product is 180​

Answer 1

Question :–

Find two numbers whose sum is 28 and product is 180.

Solution :–

Let, the first number be x.

And the second number be (28 - x).

ATQ,

→ x(28 - x) = 180

After open the brackets we get,

→ 28x - x² = 180

→ x² - 28x + 180 = 0

→ x² - 10x - 18x + 180 = 0

→ x(x - 10) - 18(x + 10) = 0

→ (x - 10) (x - 18) = 0

→ x - 10 = 0

OR

→ x - 18 = 0

So,

First term :–

• x - 10 = 0

• x = 10

Second term :–

• x - 18 = 0

• x = 18

Hence,

The required numbers are 10 and 18.