Question

the sum of 3 consecutive multiples of 3 is 867 find the number ​

Answer 1

Answer:

286

Step-by-step explanation:

Just use some simple algebra:

3x + 3(x+1) + 3(x+2) = 867

solve for x

x multiplied by 3 = number

number = 286

(286 + 289 + 292 = 867)

Answer 2

Answer:

Let the three consecutive multiples be 3x, 3(x + 1) and 3(x + 2) respectively.

According to the question;

3x + 3(x + 1) + 3(x + 2) = 867

⇒ 3x + 3x + 3 + 3x + 6 = 867

⇒ 9x + 9 = 867

⇒ 9x = 867 - 9

⇒ 9x = 858

⇒ x = 858/9

⇒ x = 286 / 3

Numbers are as follows ;

1. 3x = 3 * 286/3 = 286
2. 3x + 3 = 286 + 3 = 289
3. 3x + 6 = 286 + 6 = 292

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