The sum of three consecutive multiples of 8 is 888. Find these multiples.
Answers
Answered by
17
HEYA!!!
Given,
Sum of multiples of 8 = 888
let the numbers be x, x + 8 , x + 16
ATP,
x + x + 8 + x+16 = 888
3x+24 = 888
3x = 888 - 24
3x = 864
x = 864/3
x = 288
Therefore,the numbers are 288, 288+8= 296 , 288 + 16 = 304
HOPE THIS HELPS U...
Given,
Sum of multiples of 8 = 888
let the numbers be x, x + 8 , x + 16
ATP,
x + x + 8 + x+16 = 888
3x+24 = 888
3x = 888 - 24
3x = 864
x = 864/3
x = 288
Therefore,the numbers are 288, 288+8= 296 , 288 + 16 = 304
HOPE THIS HELPS U...
Answered by
28
Here is your answer....
Solution :
Let the first multiple of 8 be 8x. Then, the next two multiples of 8 will be 8(x + 1) and 8(x+2).
It is given that the sum of these three consecutive multiples is 888.
: 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
: The three consecutive multiples are 8 × 36, 8 × 37, 8 × 38 i.e. 288,296,304
Verification : Sum of the three multiples obtained
= 288 + 296 + 304
= 888
Hence, the solution is verified.
Hope it helped ☺☺☺
Solution :
Let the first multiple of 8 be 8x. Then, the next two multiples of 8 will be 8(x + 1) and 8(x+2).
It is given that the sum of these three consecutive multiples is 888.
: 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
: The three consecutive multiples are 8 × 36, 8 × 37, 8 × 38 i.e. 288,296,304
Verification : Sum of the three multiples obtained
= 288 + 296 + 304
= 888
Hence, the solution is verified.
Hope it helped ☺☺☺
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