The sum of three consecutive multiples of 3 is equal to 6 more than four times the smallest multiple. What is the largest multip le ?.
2 answers:
Answer: (a) 9
<u>Step-by-step explanation:</u>
1st multiple of 3: 1(3x)
2nd multiple of 3: 2(3x)
3rd multiple of 3: 3(3x)
Sum = 4(1st multiple of 3) + 6
1(3x) + 2(3x) + 3(3x) = 4(3x) + 6
3x + 6x + 9x = 12x + 6
18x = 12x + 6
6x = 6
x = 1
Largest (3rd) multiple is: 3(3x)
= 9x
= 9 · 1
= 9
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