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The product of 2 consecutive even number is 1224, then one of the number is
  • a)
    26
  • b)
    36
  • c)
    28
  • d)
    42
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The product of 2 consecutive even number is 1224, then one of the numb...
34*36 = 1224
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Most Upvoted Answer
The product of 2 consecutive even number is 1224, then one of the numb...
Let us take the number as X. so another number will be x+2. So multiply both the numbers. (x)(x+2) =1224.
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Community Answer
The product of 2 consecutive even number is 1224, then one of the numb...
Solution:

Let's assume the two consecutive even numbers are x and (x+2), then we have:

x(x+2) = 1224

Expanding the left-hand side, we get:

x^2 + 2x = 1224

Bringing 1224 to the left-hand side, we get:

x^2 + 2x - 1224 = 0

Now, we can use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = 2, and c = -1224

Plugging in these values, we get:

x = (-2 ± sqrt(2^2 - 4(1)(-1224))) / 2(1)

Simplifying, we get:

x = (-2 ± sqrt(4900)) / 2

x = (-2 ± 70) / 2

We get two values for x:

x = (-2 + 70) / 2 = 34
or
x = (-2 - 70) / 2 = -36 (we discard this solution as we're looking for even numbers)

Therefore, one of the two consecutive even numbers is x = 34, and the other is x+2 = 36. Hence, option B is correct.
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