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meriva
4 years ago
12

Find four consecutive even numbers whose sum is 156

Mathematics
1 answer:
Brut [27]4 years ago
5 0
The answer is 36, 38, 40, 42

The numbers are:
(1)     x is the first even number
(2)    x + 2 is the first <span>consecutive even number
(3)    x + 2 + 2 </span>is the second consecutive even number
(4)    x + 2 + 2 + 2 is the third consecutive even number

x + x + 2 + x + 2 + 2 + x + 2 + 2 + 2 = 156
x + x + x + x + 2 + 2 + 2 + 2 + 2 + 2 = 156
4x + 12 = 156
4x = 156 - 12
4x = 144
x = 144 / 4
x = 36

The numbers are:
(1)     x is the first even number:                                          x = 36 
(2)    x + 2 is the first consecutive even number:              x = 36 + 2 = 38
(3)    x + 2 + 2 is the second consecutive even number:  x = 36 + 2 + 2 = 40
(4)    x + 2 + 2 + 2 is the third consecutive even number: x = 36 + 2 + 2 + 2 = 42
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