Question

the sum of three consecutive even numbers is 48 find the numbers

Answer 1

let the consecutive number =X
then, 1 ^st number =X
2. ". =X+1
3. ". =X+2
a/q. X + X+1 +X +2=48
3x +3=48
X=48-3/3
X=15
so ,first number =15
second. =16
third. =17

Answer 2

Answer:

Let three consecutive even numbers are 2x, 2x + 2 and 2x + 4.

According to question,

2x + 2x + 2 + 2x + 4 = 48

⇒ 6 + 6 = 48

⇒ 6x = 48 – 6 = 42

⇒ x = = 7

First even number = 2x = 2 x 7 = 14

Second even number = 2x + 2 = 2 x 7 + 2

= 14 + 2 = 16

third even number = 2x + 4 = 2 x 7 +4

= 14 + 4 = 18

So, three consecutive even numbers are 14, 16 and 18.