Question

the sum of three consecutive multiples of 8 is 888 . find the multiples...
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Answer 1

Answer:

8,80,800

8+80+800=888

Answer 2

Answer:

The three consecutive multiples are 288, 296 & 304.

Step-by-step-explanation:

Let the number be x.

∴ The multiple of 8 of the number = 8 * x = 8x

The second consecutive number = ( 8x + 8 )

The next consecutive number = ( 8x + 8 + 8 ) = ( 8x + 16 )

From the given condition,

8x + ( 8x + 8 ) + ( 8x + 16 ) = 888

⇒ 8x + 8x + 8 + 8x + 16 = 888

⇒ 16x + 8x + 8 + 16 = 888

⇒ 24x + 24 = 888

⇒ 24x = 888 - 24

⇒ 24x = 864

⇒ x = 264 ÷ 24

⇒ x = 36

Now,

The first multiple = 8x

⇒ The first multiple = 8 * 36

⇒ The first multiple = 288

Now,

The second consecutive multiple = ( 8x + 8 )

⇒ The second consecutive multiple = 8 * 36 + 8

⇒ The second consecutive multiple = 288 + 8

⇒ The second consecutive multiple = 296

Now,

The third consecutive multiple = ( 8x + 16 )

⇒ The third consecutive multiple = 8 * 36 + 16

⇒ The third consecutive multiple = 288 + 16

⇒ The third consecutive multiple = 304

∴ The three consecutive multiples are 288, 296 & 304.