Question

The sum of three consecutive even numbers is 144. Find the highest even number.( Take the lowest even number as 4x-2)​

Answer 1

`\bold{\huge{\underline{ Solution }}}`

Given :-

• The sum of 3 consecutive even number is 144
• The lowest even number as 4x - 2

To Find :-

• We have to find the highest consecutive number.

Let's Begin :-

Here ,we have

• The sum of three consecutive even numbers is 144
• [ Consecutive even numbers are the sequence of numbers that differ by 2 or that are divisible by 2 ]
• The lowest even number is 4x - 2

Let the three consecutive number be

(4x - 2) , 4x , ( 4x + 2)

According to the question,

`\sf{ (4x - 2) + 4x + ( 4x + 2) = 144}`

`\sf{ 4x - 2 + 4x + 4x + 2 = 144}`

`\sf{ 8x - 2 + 4x + 2 = 144}`

`\sf{ 12x = 144}`

`\sf{ x = }{\sf{( 144)/(12)}}`

`\sf{ x = }{\sf{\cancel{( 144)/(12)}}}`

`\sf{ x = 12 }`

Thus, The value of x is 12

Therefore,

The three consecutive even numbers are

1. 
   `\sf{ 4x - 2 = 48 - 2 = 46 }`
2. 
   `\sf{ 4x = 48 }`
3. 
   `\sf{ 4x + 2 = 48 + 2 = 50 }`

Hence, The highest consecutive even number is 50 .