Question

The sum of three comsecutive even number is 276. Find the number

Answer 1

Answer:

90, 92, 94

Step-by-step explanation:

n, n+2, n+4

3n+6 = 276

n = 270/3 = 90

Answer 2

ANSWER:

Given:

• Sum of 3 consecutive even numbers is 276

To Find:

• The numbers

Solution:

Let the numbers be 2x, 2x+2 and 2x+4.

So,

⇒ (2x) + (2x + 2) + (2x + 4) = 276

⇒ 2x + 2x + 2 + 2x + 4 = 276

⇒ 6x + 6 = 276

⇒ 6(x + 1) = 276

⇒ x + 1 = 276/6

⇒ x + 1 = 46

⇒ x = 45

Hence, the numbers are :

• 2x = 2(45) = 90
• 2x + 2 = 2(45) + 2 = 90 + 2 = 92
• 2x + 4 = 2(45) + 4 = 90 + 4 = 94

Therefore, the numbers are 90, 92 and 94.

Verification:

⇒ 90 + 92 + 94

⇒ 90 + 186

⇒ 276

Hence verified!!