Sum of three consecutive multiple of 8 is 888.find the multiples.
Answers
Let's take any three consecutive multiples of 8
16,24,32
These numbers can also be written as 8x,8(x+1),8 (x+2)
where x=2
Like the same way, 'y' is an unkown number then, the consecutive multiples of 8 are
8y , 8 (y+1), 8 (y+2)
Given that....
8y+ 8 (y+1)+ 8 (y+2)=888
Open the brackets..
8y+8y+8+8y+16=888
24x+24=888
24x=888-24
24x=864
x=864/24
x=36
8x=8*36
=288
8 (x+1)=8*37
=296
8 (x+2)=8*38
=304
288+296+304=88
The three multiples are 288,296,304.
Hope it helps.......
✍ let the three consecutive number be x, (x +8) , (x + 16 )..✌
⭐ x + (x +8)+(x+16) = 888
=> x + x+8 + x + 16 = 888
=> 3x + 8 + 16 = 888
=> 3x + 24 = 888
=>3x = 888- 24
=> 3x = 864
=> x = 864/ 3
=> x = 288
So , x = 288
⭐ (x + 8) = 288 + 8 = 296
⭐( x + 16) = 288 + 16 = 304
Hence ,
Three consecutive number be 288, 296 and 304..