Question

A,b,c,d,e are five consecutive even numbers. If the sum ot a and d is 162. What is the sum of all the numbers

Answer 1

Hi ,

Let a = x ,

b = x+2,

c = x+4,

d = x+6,

e= x+8

are five consecutive even numbers.

according to the problem given,

a + e = 162

=> x + x + 8 = 162

=> 2x = 162 - 8

=> x = 154/2

x = 77

Therefore ,

sum of all the numbers

= a + b + c + d + e

= x+x+2+x+4+x+6+x+8

= 5x + 20

= 5 × 77 + 20

= 385 + 20

= 405

I hope this helps you.

: )

Answer 2

let the 5 consecutive even numbers be

x , x+2 , x+4 , x+6 , x+8

a    b       c       d       e

i ve written the consecutive series as x ,x+2 and so on becuase they are even consecutive intergers.

Suppose we take first number be 2 then the seccond number would be 4 and 6 and 8 and so on......increasing by 2

According to question

x + (x+6) = 162

2x + 6=  162

2x = 156

x = 78

So our series will be

78 , 80 , 82 , 84 , 86

and our sum will be 78+80+82+84+86 = 410