The sum of three consecutive multiples of 8 is 888.find the multiples.
Answers
Step-by-step explanation:
let the numbers be 8x , 8x + 8 and 8x + 16 .
And it is given that their sum is 888.
According to the question , required equation :-
8x + 8x + 8 + 8x + 16 = 888
Solving equation :-
8x + 8x + 8 + 8x + 16 = 888
24x + 24 = 888
24x = 888-24
24x = 864
x = 864/24
x = 36 .
The numbers are :-
8x = 8×36 = 288
8x + 8 = 8×36 + 8 = 288 + 8 = 296
8x + 16 = 288 + 16 = 304 .
Hope it will help..
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GIVEN :
- The sum of three consecutive multiples of 8 is 888.
TO FIND :
- The multiples when the sum of three consecutive multiples of 8 is 888 = ?
STEP - BY - STEP EXPLAINATION :
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
The three consecutive multiples are 8 × 36 8 × 37 and 8 × 38 . i.e. 288 , 296, and 304.
VERIFICATION :-------
Sum of the three multiples obtained
= 288 + 296 + 304
= 888
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Hence, thus it's VERIFIED also.
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