Posted by **Britney** on Thursday, February 12, 2009 at 11:36pm.

Translate to a system of equations and solve:

1) The sum of two numbers is 36. One number is 2 more than the other. Find the numbers.

Answer: (17,19)

2) Find two numbers whose sum is 66 and whose difference is 18.

Answer: (37,29)

These ones I am not sure of:

3) The difference between two numbers is 16. Three times the larger number is seven times the smaller. What are the numbers?

4) The difference between two numbers is 18. Twice the smaller number plus three times the larger is 74. What are the numbers?

- Reiny! Reiny! Reiny! Answer Check and HW Help! -
**David**, Thursday, February 12, 2009 at 11:44pm
3) Answer (12, 28)

4) Answer (4, 22)

- Reiny! Reiny! Reiny! Answer Check and HW Help! -
**Britney**, Thursday, February 12, 2009 at 11:45pm
What are the equations for numbers 3 and 4?

- Reiny! Reiny! Reiny! Answer Check and HW Help! -
**Reiny**, Friday, February 13, 2009 at 8:10am
#3: Let the larger be x, the smaller be y

<The difference between two numbers is 18> ---> x - y = 16

<Three times the larger number is seven times the smaller> ---> 3x = 7y or 3x-7y = 0

#4 (same way)

x - y = 18

3x + 2y = 74

## Answer This Question

## Related Questions

- reiny - How do I find a variance for a set of numbers {1,16,8,17,12} I got that ...
- To Reiny - Reiny could you please check my Calculus post below, it says Calculus...
- Math - the sum of two numbers is 27. one number is 3 more than the other number...
- Reiny - Reiny I think I have found out the rectangle problem. Could you check ...
- URGENT~MATH For Steve or Reiny - For questions 5-7, find the solution to the ...
- Reiny! Reiny! Reiny! - 1. Oanh walked from her home to the grocery store at 3 mi...
- Algebra 1 - Translate problem situation to a system of equations. Do not solve. ...
- Math (Reiny??) - Mrs. Reiny ... As in Harris County Mrs. Reiny?
- Pre-Calculus - Reiny - Reiny you helped me with this logarithm yesterday: How ...
- Algebra - Write a system of equations to model the problem and solve the system...

More Related Questions