Question

find three consecutive even numbers whose sum is 246

Answer 1

Let the 3 no.s be x, x + 2 and x - 2, considering x as the middle no.

= x + x + 2 + x - 2 = 246

= 3x = 246

= x = 246/ 3

= x = 82

Therefore, the 3 no.s are 80 ( 82 - 2), 82, and 84 ( 82 +2 )

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Answer 2

Given :-

• Sum of three consecutive even number is 246.

To Find :-

• The Three consecutive even number

Solution :-

⟼ Let the First Even number be x

⟼ Let the Second Even number be x + 2

⟼ Let the Third Even number be x + 4

According to the Question :

➞ x + (x + 2) + (x + 4) = 246

➞ x + x + 2 + x + 4 = 246

➞ x + x + x + 2 + 4 = 246

➞ 3x + 2 + 4 = 246

➞ 3x + 6 = 246

➞ 3x = 246 - 6

➞ 3x = 240

➞ x = 240 / 3

➞ x = 80

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Therefore :

• First Even number = x = 80
• Second Even number = x + 2 = 80 + 2 = 82
• Third Even number = x + 4 = 80 + 4 = 84

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