Hlo guys...yrr ye solve krdoo..the sumbif three consecutive multiples of 8 is 888.Find the multiples.
Answers
Answer:
LET THE MULTIPLES BE 8X,8(X+1),8(X+2)
ACCORDING TO THE QUESTION
8X+8(X+1)+8(X+2) = 888
8X+ 8X+ 8+8X+16= 888
24X+24=888
24X= 888-24
24X=864
X=864/24=36
MULTIPLES = 8X = 8*36=288
8(X+1)= 8(36+1)= 8*37= 296
8(X+2)=8(36+2)= 8*38= 304
Explanation:
Let the first multiple of 8 be 8x.
Therefore the second consecutive multiple of 8 will be 8(x+1)
Also the third consecutive multiple of 8 will be 8(x+2).
It is given that the sum of these three consecutive multiples of 8 is 888
=> 8x + 8(x+1) + 8(x+2) = 888
=> 8x + 8x + 8 + 8x + 16 = 888
=> 24x + 24 = 888
Take 24 on the RHS
=> 24x = 888 - 24
=> x = 864/24
=> x = 36.
Therefore First multiple of 8 be 8x = 8 x 36 = 288
Second Multiple of 8 be 8(x + 1) = 8(36 + 1) = 8 x 37 = 296
Third Multiple of 8 be 8(x + 2) = 8(36 + 2) = 8 x 38 = 304
If we sum up these three multiples i.e (288 + 296 + 304) we get 888.
thanks
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