The sum of three consecutive multiples of 7 is 357. Then the smallest multiple of 7
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Answered by
10
ANSWER:
- Least multiple of 7 is 112
GIVEN:
- Sum of three consecutive multiples of 7 is 357
TO FIND:
- The smallest multiple of 7.
SOLUTION:
Let x be the a number .
1st number consecutive to x = (x+1)
2nd number consecutive to x = (x+2)
Now :
According to the Question:
=> 7(x)+7(x+1)+7(x+2) = 357
=> 7x+7x+7+7x+14 = 357
=> 21x+21 = 357
=> 21(x+1) = 357
=> x+1 = 357/21
=> x+1 = 17
=> x = 17-1
=> x = 16
1st multiple of 7 = 7x
= 7(16)
=112
2nd multiple of 7 = 7(x+1)
= 7(16+1)
= 7(17)
= 119
3rd multipl of 7 = 7(x+2)
= 7(16+2)
= 7(18)
= 126
Here
Least multiple is 112
Answered by
5
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