the sum of three consecutive multiples of 8 is 888. find its multiples
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Answered by
1
Answer:
Here is your Answer : )
Step-by-step explanation:
x+8 + x+16 + x+24 = 888
3x + 48 = 888
3x = 888-48
3x = 840
x = 840/3
x = 280
x+8 = 280+8 -> 288
x+16 = 280+16 -> 296
x+24 = 280+24 -> 304
Hope it helps : )
Answered by
1
Let the multiples be:
- First multiple = 8x
- Second multiple = 8(x + 1) = (8x + 8)
- Third multiple = 8(x + 2) = (8x + 16)
Now, in the question, it is given that the sum of the three consecutive multiples of 8 is 888. So,
→ 8x + (8x + 8) + (8x + 16) = 888
→ 24x + 24 = 888
→ 24x = 888 – 24
→ 24x = 864
→ x = 864/24
→ x = 36
Hence,
- First multiple = 8x = (8 × 36) = 288
- Second multiple = (8x + 8) = (288 + 8) = 296
- Third multiple = (8x + 16) = (288 + 16) = 304
•°• The multiples are 288, 296 & 304 respectively.
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