the sum of three consecutive multiples of 8 is 888. find the multiplies
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2
Answer:
Step-by-step explanation:
a+(a+8)+(a+16)=888
3a+24=888
3a=864
a=864/3
a=288
288,296,304
46th,47th,48th multiple of 8 has the sum of three consecutive multiples of 8 =888
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Given :-
• The sum of three consecutive multiples of 8 is 888.
To Find :-
• What are the multiples?
Solution :-
Let the 1st multiple of 8 be 8x.
Then, the 2nd and 3rd multiple of 8 will be 8( x +1) and 8 ( x +2) respectively.
As per question :-
Given that,
The sum of three consecutive multiples of 8 is 888.
Therefore,
8x + 8 ( x +1) + 8 ( x +2) = 888
⟼ 8x + 8x + 8 + 8x + 16 = 888
⟼ 24 x = 864
Hence,
1st multiple of 8 is = 36 × 8 = 288
2nd multiple of 8 is = 8 ( x +1) = 8 ( 36+1) = 296
3rd multiple of 8 is = 8 ( x+2) = 8 ( 36+2) = 304
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