Question

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

Answer 1

Step-by-step explanation:

let the first multiple of 8 be 8x. Also the third consecutive multiple of 8 will be 8(x+2). => x = 36. If we sum up these three multiples i.e (288 + 296 + 304) we get 888

Answer 2

Answer

• The multiples of 8 are 288, 296 and 304.

Given

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

To Do

• To find all the multiples.

Step By Step Explanation

According to the Question :

The sum of three multiples of 8 is 888.

Assumption :

Let us consider that x be the first multiple of 8. Then the next multiples will be x + 8 and x + 16.

Equation :

Now the equation will be ⤵

$\underline{ \boxed{ \bold{ \red{(x )+( x + 8) + (x + 16 )= 888}}}} \: \: \: \: \bigstar$

Solution of equation :

Let us solve the above equation to find the value of x. So let's do it !!

$\longmapsto \tt(x) + (x + 8) + (x + 16) = 888 \\ \\ \longmapsto \tt x + x + 8 + x + 16 = 888 \\ \\ \longmapsto \tt3x + 24= 888 \\ \\ \longmapsto \tt3x = 888 - 24 \\ \\ \longmapsto \tt3x = 864 \\ \\\longmapsto \tt x = \cfrac{864}{3} \\ \\\longmapsto \underline{ \boxed{\bold {\green{ x = 288}}}} \: \: \: \: \: \dag$

Therefore, the required multiples of 8 are x = 288, x + 8 = 296 and x + 16 = 304.

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