Respuesta :
Let the lesser even integer be n.
Then 3n = 6(n+2)-6
3n = 6n + 12 - 6
-6 + 3n, and n = -2
The greater even integer is 0.
Check: 3(-2) = 6(0)-6
-6 = -6 true
Then 3n = 6(n+2)-6
3n = 6n + 12 - 6
-6 + 3n, and n = -2
The greater even integer is 0.
Check: 3(-2) = 6(0)-6
-6 = -6 true
The required integer is - 2
We could express the two consecutive even ntegers as :
n and n+2
Lesser integer = n
greater integer = n + 2
Three times the lesser = 3n
Six times the greater = 6(n+2)= 6n + 12
3n = (6n + 12) - 6
3n = 6n + 12 - 6
3n = 6n + 6
3n - 6n = 6
-3n = 6
n = 6/-3
n = - 2
The integer is - 2
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