the sum of three consecutive multiples of 5 is 330 find the smallest multiple
Answers
Answered by
1
Answer:
smallest multiple=105
Step-by-step explanation:
x+x+5+x+10=330
3x+15=330
3x=330-15
3x=315
x=315/3
x=105
x+5=105+5=110
x+10=105+10=115
Answered by
3
The smallest multiple is 105.
Step-by-step explanation:
Let the 3 concecutive multiples of 5 be x, x + 5, x +5 + 5
Given
The sum of three consecutive multiples of 5 is 330.
So,
- x + x + 5 + x + 5 + 5 = 330
- 3x + 15 = 330
- 3x = 330 - 15
- 3x = 315
- x = 315/3
- x = 105
So, The multiples are
x = 105
x = 105 x + 5 = 105 + 5 = 110
x = 105 x + 5 = 105 + 5 = 110x + 5 + 5 = 105 + 5 + 5 = 115
So, the smallest multiple is 105.
Checking
To check our answer we will add all the concecutive multples of 5 I.e 105 + 110 + 115 and check whether our sum is 330.
105 + 110 + 115 = 330
So,our answer is correct
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