The sum of four consecutive even numbers is 156.Find the numbers.
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Step-by-step explanation:
Assumption: Let the four consecutive even numbers be x, x+2, x+4 and x+6.
According to the question,
x + (x + 2) + (x + 4) + (x + 6) = 156
=> x + x + 2 + x + 4 + x + 6 = 156
=> x + x + x + x + 2 + 4 + 6 = 156
=> 4x + 12 = 156
=> 4x = 156 - 12
=> x = 144/4
=> x = 36
So, the numbers are -
x = 36
x + 2 = 36 + 2 = 38
x + 4 = 36 + 4 = 40
x + 6 = 36 + 6 = 42
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