Question

the sum of three consecutive multiples of 8 is 888. Find the multiples​

Answer 1

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The consecutive multiples of 888 = 288, 296, 304

Step-by-step explanation:

Question

The sum of three consecutive multiples of 8 is 888. Find the multiples

Answer

In the Question The sum of the 3 multiples of 8 is 888.

Let us assume the 3 concecutive multiples of 8 as

• x, x+ 8, x + 8 + 8 = 888

• 3x +24 = 888

• 3x = 888 - 24

• 3x = 864

• x = 864/3

• x = 288

So We got x as 288

So ,the 3 consecutive multiples of 8 that add up to 888

• x = 288

• x + 8 = 288 + 8 = 296

• x + 8 + 8 = x + 16 = 288 + 16 = 304

So, ∴ The consecutive multiples of 888 = 288,296,304

Checking

To check our answer we can add all the multiples of 8 and check whether our sum is 888.

288 + 296 + 304 = 888

So,our answer is correct

Answer 2

Let the three consecutive multiples of 8 be 8x, 8(x+1) and 8(x+2).

According to the question,

8x + 8(x+1) + 8(x+2) = 888

⇒ 8 (x + x+1 + x+2) = 888 (Taking 8 as common)

⇒ 8 (3x + 3) = 888

⇒ 3x + 3 = 888/8

⇒ 3x + 3 = 111

⇒ 3x = 111 – 3

⇒ 3x = 108

⇒ x = 108/3

⇒ x = 36

Thus, the three consecutive multiples of 8 are:

8x = 8 × 36 = 288

8(x + 1) = 8 × (36 + 1) = 8 × 37 = 296

8(x + 2) = 8 × (36 + 2) = 8 × 38 = 304