The sum of three consecutive multiples of 6 is 666
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Answer:
the numbers are
216 ,
222,
228
Step-by-step explanation:
let number be 6×x, 6×(x+1), 6× (x+2)
Then
6x + 6(x +1) + 6 (x+2) = 666
6x + 6x + 6 + 6x + 12 = 666
18x + 6 + 12 = 666
18x +18 = 666
18x = 666 - 18
= 648
x = 648 ÷ 18
= 36
so the numbers are
6x = 6 ×36 = 216
6(x +1) = 6 ×(36 +1) = 222
6(x +2) = 6 ×(36 +2) = 228
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