Question

Average of 5 numbers is 25 and difference of two numbers is 2. Find the numbers?

Answer 1

Answer:

Answer is 24 and 26

let the no. be x and y

then (x+y)/2=25

Or x+y=50

Or x-y=2

adding both equation,

2x=52

Or x=26

Or y=24

Answer 2

The numbers are 21, 23, 25, 27, and 29.

Step-by-step explanation:

There are five numbers and the difference of two numbers is two.

Let the first number be a.

Then the other numbers are (a + 2), (a + 4), (a + 6) and (a + 8).

Hence, the average of those five numbers will be

$\frac{a + (a + 2) + (a + 4) + ( a + 6) + (a + 8)}{5} = 25$ {As per given condition}

⇒ $\frac{5a + 20}{5} = 25$

⇒ a + 4 = 25

⇒ a = 21

Therefore, the numbers are 21, 23, 25, 27, and 29. (Answer)