Posted by **A-D** on Wednesday, January 19, 2011 at 5:56am.

find three numbers such that the second is 6 less than 3 times the first , and the third is 2 more than 2/3 of the 2nd.The sum of the three numbers is 172.

use x=1st number

y=second number

z= 3rd number

please help...thanks a lot!!

- advance algebra -
**Reiny**, Wednesday, January 19, 2011 at 9:45am
You have 3 consecutive questions of this type.

Why do you want to use 3 variables, it is much easier to just define one, and the use the given to define the others.

e.g.

let the first number be x

then the 2nd number is 3x-6

and the 3rd is (2/3)(3x-6) + 2 = 2x -4 + 2 = 2x - 2

then x + 3x-6 + 2x-2 = 172

6x = 180

x = 30

1st = 30

2nd = 3(30)-6 = 84

3rd = 58

check: 30+84+58 = 172

try the others using only one variable.

## Answer this Question

## Related Questions

- Algebra - three numbers are such that the second is the difference of three ...
- Algebra I - The sum of three numbers is 147. The second number is 4 more than ...
- algebra - Five times the smallest of three consecutive odd integers is ten more ...
- math - The greater of two numbers is 1 more than twice the smaller. Three times ...
- algerba 1 - 1. the sum of 3 numbers is 207. the 2nd # is 8 times the first, ...
- Grade 8 Math - Can you write them in Mathematical/numbers form I'll solve them ...
- algebra & trigonometry - The sum of three whole numbers is 7. The second number...
- algebra & trigonometry - The sum of three whole numbers is 7. The second number...
- pre algebra - THe second of three numbers is 5 less than 4 times the first. The ...
- Math - The sum of three numbers is 301. The second number is 3 less than twelve ...

More Related Questions