Question

The sum of five consecutive numbers is 270. What is the sum-of the second and the fifih number ?
(1) 108
(2) 107
(3) 110
(4) Cannot be determined
(5) None of these

Answer 1

let the a number = x

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

Simplify.

5x + 10 = 270

Isolate the x. Note the equal sign. What you do to one side you do to the other. Also do opposite of PEMDAS.

First subtract 10 from both sides

5x + 10 (-10) = 270 (-10)

5x = 270 - 10

5x = 260

Next, divide 5 from both sides

5x/5 = 260/5

x = 260/5

x = 52.

Now you are trying to find the sum of the second (x + 1), and the fifth number (x + 4)

Plug in 52 for x

(52 + 1) + ( 52 + 4) = (53) + (56) = 109

(5) None of these is your answer, because the answer is 109

hope this helps

Answer 2

Hey user

Here is your answer :-

Let the smallest number be " x "

So other numbers are x + 1 , x + 2 , x + 3 & x + 4

So

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

=> 5x + 10 = 270

=> 5x = 260

=> x = 52

So the numbers are 52 , 53 , 54 , 55 & 56