Sum of 3 numbers = 85. 3rd number is 3 times the 2nd number. 1st number is 10 < 2nd number. What are the 3 numbers?

Question

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Answer 1

Let x be the SECOND number. Then the first number is x - 10 and the third number is 3x.

 

Since the sum of the three numbers is 85, you can form the equation:

 

(x - 10) + x + 3x = 85.

 

Solving,

 

5x - 10 = 85

 

5x = 95

 

x = 19.

 

This means the SECOND number is 19. The FIRST number is 19 - 10 = 9 and the THIRD number is 3 · 19 = 57.

 

All told, the three numbers are 9, 19, and 57. Check the sum: 9 + 19 + 57 = 85.

Answer 2

Hi Dakota.

 

 

Let x = 2nd number

    3x = 3rd number

x - 10 = 1st number

 

 

 

the sum of three numbers in 85. So, 

 

(x) + (3x) + (x - 10) = 85

 

Combine similar terms.

 

5x -10 = 85

 

5x - 10 + 10 = 85 + 10

 

5x = 95

 

 x = 95/5 = 19

 

Then, 19 is the 2nd number. To find the 1st and the 3rd numbers, substitute the value of x.

 

3rd number = 3x

 

                  = 3 (19)

 

                  = 57

 

1st number = x - 10

 

                 = 19 - 10

 

                 = 9

 

To check, find the sum of the three numbers.

 

19 + 57 + 9 = 85

 

Hope that helps.