Question

If the sum of two natural numbers is 20 and their product is 100, find the numbers.

Answer 1

Answer:

these numbers are 10 and 10

Step-by-step explanation:

because the sum of 10 and 10 is 20 and the product of these numbers is 100.

Answer 2

Answer:

10 and 10

Step-by-step explanation:

Given:

• Sum of two numbers
• Their product

To Find:

• The numbers

Solution

Let the nimbers be x and y respectively.

x+y=20

xy=100

Now we have to find x-y so we can find the answer. So,

$\tt \longrightarrow\: (x - y) ^{2} = ({x + y)}^{2} - 4xy \\ \tt \longrightarrow( {x - y)}^{2} = {(20)}^{2} - 4 \times 100 \\ \tt \longrightarrow( {x - y)}^{2} = 400 - 400 \\ \tt \longrightarrow \: x - y = \sqrt{0} = 0$

x+y=20---(i)

x-y=0---(ii)

Adding (i) and (ii)

We get x=10

x+y=20

y=20-10=10

REQUIRED NUMBERS=10 AND 10