Question

the sum of two numbers are 10 and product of their numer is 25 then find the number​

Answer 1

Answer:

____________☘︎____________

ANSWER

____________☘︎____________

Given :--

• There are two number.
• Their sum is 10
• the value of their product is 25.

To Find :--

The required number which matches with the above given criteria.

Solution :--

Let the required number be x and y

Now , According to question:

1. => x + y = 10 Or x = 10 - y {Eq 1.}
2. => x × y = 25 Or x = 25/y {Eq 2.}

So , by combining Eq 1 and Eq 2 , we get the value of x as :

10-y = 25/y

-y²+10y- 25 = 0

y² -10y + 25 = 0

(y² -5y - 5y +25 = 0)

y(y-5) × -5(y-5)

(y-5)(y-5) { Eq3}

So , here in above Eq 3 we get two values , that is 5 and 5.

So , the required two numbers are 5.

Proof :--

The two numbers are 5 and 5.

Now , their sum is ⤵

5+5 = 10 (as given in question)

Now , their product is ⤵

5×5 = 25 (as given in question)

______________________________

Hence , the two numbers are 5.

______________________________