Question

3. The mean of two numbers is 10 and their difference is zero. Find the numbers.
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Answer 1

Answer:

Step-by-step explanation:

Given :-

The mean of two numbers is 10 and their difference is zero.

To Find :-

The Numbers.

Solution :-

Let the numbers be x and y.

According to the question

x - y = 0 -----(1)

Mean = 10

⇒ (x+y) / 2 = 10

⇒ x+y = 20 -----(2)

On adding equation 1 and 2, we get

⇒ 2x = 20

⇒ x = 20/2

⇒ x = 10

Putting the value of a in equation 2, we get

⇒ y = 10

Hence, The Numbers is 10 and 10.

Answer 2

• Let one/first number be M and another number be N.

» The mean of two numbers is 10.

A.T.Q.

Now..

Means = Sum of two numbers/Total numbers

→ (M + N)/2 = 10

→ M + N = 20

→ M = 20 - N _________ (eq 1)

» The difference between two numbers is zero.

A.T.Q.

→ N - M = 0

→ N = M

→ N = 20 - N [From (eq 1)]

→ 2N = 20

→ N = 10 (another number)

Put value of N in (eq 1)

→ M = 20 - (10)

→ M = 20 - 10

→ M = 10 (first number)

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The numbers are 10 and 10.

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