the sum of three consecutive even numbers is 276. find the numbers.
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Answered by
1
Answer:
276÷3=92
so,92+92+92=276
Answered by
2
Let the smallest number be 2x ( as in the case of consecutive even numbers)
Then 2x + 2 and 2x + 4 are the next two consecutive numbers.
Since their sum is 276, we can write an equation:
2x + 2x+ 2 + 2x + 4 = 276
=> 6x + 6 = 276
=> 6x = 276 - 6
=> 6x = 270
=> x =
=> x = 45
Now,
=> 2x = 2 × 45 = 90
=> 2x + 2 = (2 × 45) + 2 = 90 + 2 = 92
=> 2x + 4 = (2 × 45) + 4 = 90 + 4 = 94
So, the 3 consecutive numbers are : 90,92,94.
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