Question

The sum of two numbers is 16 , their product is 63 . What are the two numbers .

Answer 1

Two no. is 7 and 9
i hope your question right answer

Answer 2

Given,

The sum of two numbers is 16, their product is 63.

To Find,

The two numbers =?

Solution,

We can solve the question as follows:

It is given to us that the sum of two numbers is 16 and their product is 63. Let the first number be x and the second number be y.

Therefore,

$x + y = 16$     ---------- (1)

$xy = 63$         ---------- (2)

From equation (1),

$x = 16 - y$

Substituting x = 16 - y in equation (2),

$(16 - y)y = 63$

$16y - y^{2} = 63$

$y^{2} - 16y + 63 = 0$

Now, we will solve the above quadratic equation to obtain the value of y.

$y^{2} - 16y + 63 = 0$

$y^{2} -7y - 9y + 63 = 0$

$y(y - 7) -9(y - 7) = 0$

$( y-9)(y-7) = 0$

$y -9 = 0, y-7 = 0$

Therefore, $y = 7,9$

We know,

$x = 16 - y$

Substituting the values of y in the above equation,

$x = 16 - 7 = 9\\x = 16 - 9 = 7$

Hence, the two numbers are equal to 7 and 9.