Question

the sum of three consecutive even numbers sum is 96​

Answer 1

Answer:

$\bigstar{\bold{Numbers\:are\:30,\:32,\:34}}$

Step-by-step explanation:

$\Large{\underline{\underline{\it{Given:}}}}$

• Sum of three consecutive even numbers is 96

$\Large{\underline{\underline{\it{To\:Find:}}}}$

• The three numbers

$\Large{\underline{\underline{\it{Solution:}}}}$

→ Let the first number be x

→ Then the second number would be x + 2

→ Third number would be x + 2 + 2 = x + 4

→ By given

  x + x + 2 + x + 4 = 96

  3x = 96 =6

  3x = 90

  x = 30

→ Therefore the first number = x =30

→ Second number = x + 2 = 30 + 2 = 32

→ Third number = x + 4 = 30 + 4 = 34

$\boxed{\bold{Numbers\:are\:30,\:32,\:34}}$

$\Large{\underline{\underline{\it{Verification:}}}}$

→ 30 + 32 + 34 = 96

   96 = 96

Hence verified.

Answer 2

Answer:

Let 2n + 2 = the second consecutive even number, and ... Let 2n + 4 = the third consecutive even number. Therefore, the three consecutive even numbers whose sum is 96 are indeed 30, 32, and 34.

Step-by-step explanation:

let the numbers be x,x+2,x+4

therefore,

according to question

x+x+2+x+4=96

3x+6 = 96

3x=96-6

3x=90

x=90/3

x= 30

so the other consecutive even numbers are

x+2 =30+2=32

x+4=30+4 = 34

therefore the three numbers are 30,32,34

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