the sum of three consecutive multiples of 8 is 888.find the multiple
Answers
Answered by
0
Step-by-step explanation:
It is 888÷8=11. Please mark brainliest.
Answered by
10
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.
_____________________
Hope it helps you mate!
Similar questions