Math, asked by jiyasisodiya58, 9 months ago

the addition of three successive multiples of 9 is 81.find out the multiples​

Answers

Answered by mythri04
272

Answer:

18, 27, 36.

Step-by-step explanation:

let the no.s be 9x, 9(x+1), 9(x+2).

9x+9x+9+9x+18 = 81

27x+27 = 81

27x = 54

x = 2

So, the multiples are, 18, 27, 36.

Hope this helps you...........................

Answered by DevendraLal
37

Given :

The addition of three successive multiples of 9 is 81.

To find:

The three multiples of 9.

Solution:

Let the consecutive multiples of 9 are 9x, 9(x+1), 9(x+2)

As it is given in the question that the sum of the multiples is 81 so,

  • 9x+9(x+1)+9(x+2) = 81
  • 9x+9x+9+9x+18 = 81
  • 27x+27 = 81
  • 27x = 81-27
  • 27x = 54
  • x = 54/27
  • x = 2

so the multiple of 9 are given by:

  • 9x = 9×2 = 18
  • 9(x+1) = 9(2+1) = 9×3 = 27
  • 9(x+2) = 9(2+2) = 9×4 = 36

The three consecutive multiples of 9 are 18, 27, and 36.

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