Question

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

Answer 1

Answer:

the multiples are 288,296,304

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Answer 2

Given:

✰ The sum of three consecutive multiples of 8 is 888.

To find:

✠ The multiples.

Solution:

First we will assume the three consecutive multiples as x + 8 , x + 16 and x + 24 respectively. In this question, it is given that the sum of three consecutive multiples of 8 is 888 and we have to find the three consecutive multiples. As we know that multiples of 8 are 16 , 24 , 32 and so on basically the table of 8. Thus, forming an adequate equation and doing required calculations, we will find the respective multiplies.

Let the three consecutive multiples be + 8 , x + 16 and x + 24 respectively.

According to the Question :

⟼ (x + 8) + (x + 16) + (x + 24) = 888

⟼ x + 8 + x + 16 + x + 24 = 888

⟼ x + x + x + 8 + 16 + 24 = 888

⟼ 3x + 8 + 16 + 24 = 888

⟼ 3x + 48 = 888

⟼ 3x = 888 - 48

⟼ 3x = 840

⟼ x = 840/3

⟼ x = 280

Now, we will substitute the value of x in respective multiplies we have assumed, we have:

➣ First Multiple = x + 8

➣ First Multiple = 280 + 8

➣ First Multiple = 288

➣ Second Multiple = x + 16

➣ Second Multiple = 280 + 16

➣ Second Multiple = 296

➣ Third Multiple = x + 24

➣ Third Multiple = 280 + 24

➣ Third Multiple = 304

∴ The three respective multiplies are 288, 296 and 304 respectively.

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