Question

The sum of five consecutive numbers is 270. What is the sum of the second and the fifth number?

Answer 1

Answer:

109

Step-by-step explanation:

x + x + 1 + x + 2 + x + 3 + x + 4 = 270

=>5x + 10 = 270

=>5x = 260

=>x= 2605=52

∴ x + 1 + x + 4 = 2x + 5

= 2×52+5=109

Answer 2

Given,

The sum of five consecutive numbers = 270

To find,

The sum of the second and the fifth number.

Solution,

We can simply solve this mathematical problem using the following process:

Let us assume that the five consecutive numbers are (x-2), (x-1), x, (x+1), and (x+2), respectively.

Now, according to the question;

The sum of five consecutive numbers = 270

=> (x-2) + (x-1) + x + (x+1) + (x+2) = 270

=> 5x = 270

=> x = 270/5

=> x = 54

Now, the second number = x-1 = 54-1 = 53

The fifth number = x+2 = 54+2 = 56

So, the sum of the second and the fifth number

= (the second number) + (the fifth number)

= 53 + 56 = 109

Hence, the sum of the second and the fifth number is equal to 109.