Math, asked by 20100165, 1 year ago

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

Answers

Answered by student0135
2

Step-by-step explanation:

let the numbers be 8x , 8x + 8 and 8x + 16 .

And it is given that their sum is 888.

According to the question , required equation :-

8x + 8x + 8 + 8x + 16 = 888

Solving equation :-

8x + 8x + 8 + 8x + 16 = 888

24x + 24 = 888

24x = 888-24

24x = 864

x = 864/24

x = 36 .

The numbers are :-

8x = 8×36 = 288

8x + 8 = 8×36 + 8 = 288 + 8 = 296

8x + 16 = 288 + 16 = 304 .

Hope it will help..

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Answered by Anonymous
27

GIVEN :

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

TO FIND :

  • The multiples when the sum of three consecutive multiples of 8 is 888 = ?

STEP - BY - STEP EXPLAINATION :

Let the first multiple of 8 be 8x. Then, the next two multiples of 8 will be 8(x + 1) and 8(x + 2).

It is given that the sum of these three consecutive multiples is 888.

→ 8x+8(x+1) + 8(x+2) = 888

→ 8x + 8x + 8 + 8x + 16 = 888

→ 24x + 24 = 888

→ 24x = 888 - 24

→ 24x = 864

 =  > x =  \frac{864}{24}  = 36

The three consecutive multiples are 8 × 36 8 × 37 and 8 × 38 . i.e. 288 , 296, and 304.

VERIFICATION :-------

Sum of the three multiples obtained

= 288 + 296 + 304

= 888

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Hence, thus it's VERIFIED also.

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