Question

3. Find two numbers whose sum is 23 and product is 132.​

Answer 1

Answer:

11 and 12

Explanation:

if we add 11 and 12=

11+12=23

if we multiply 11 and 12=

11x12=132

with the help of equation

x^2 + 23x + 132

middle term breaking

x^2 + 11x + 12x + 132

(x + 11)(x + 12)

Answer 2

Given - Sum and product of numbers

Find - Numbers

Solution - The two numbers are 11 and 12

Let the two numbers be x and y. Now, as per the first statement, the mathematical equation will be -

x + y = 23

As per the second statement, the equation will be - x*y = 132

y = 132/x

Putting the value of y in the first equation.

x + 132/x = 23

Multiplying the above-mentioned equation with x

x² + 132 - 23x = 0

x² - 23x + 132

x = 11, 12

Putting the value of x in the equation to find the value of y.

y = 23 - 11

y = 12

OR

y = 23 - 12

y = 11

So, the two numbers are 11 and 12.