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Q.

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


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a

First multiple is 338, the second multiple is 546 and the third multiple is 601.

b

First multiple is 128, the second multiple is 272 and the third multiple is 346.

c

First multiple is 578, the second multiple is 346 and the third multiple is 789.

d

First multiple is 288, the second multiple is 296 and the third multiple is 304. 

answer is D.

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Detailed Solution

It is given that the sum of three consecutive multiples of 8 is 888.
Let first multiple be x.
Second multiple be x+8x.
Third multiple be (x+8) +8=x+16.
The sum of multiples is 888.
Then the equation will be,
x+(x+8) +(x+16) =888
Simplifying the equation,
⇒x+x+x+8+16=888 ⇒3x+24=888 ⇒3x=888−24 ⇒3x=864  
Divide both the sides by 3.
x= 864 3 ⇒x=288  
Substitute the value of x to get the first, second, and third multiple of 8.
First multiple is x=288.
Second multiple is,
=x+8 =288+8 =296  
Third multiple is,
⇒x+16 =288+16 =304  
Hence, the first multiple is 288, the second multiple is 296 and the third multiple is 304.
Correct option is 4.
 
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