Math, asked by naincy158, 6 months ago

the sum of three consecutive multiples of 5 is 330 find the smallest multiple​

Answers

Answered by Thenavi
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 Anonymous
3

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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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