Posted by **sue** on Thursday, January 14, 2010 at 3:41pm.

Four different positive integers sum to one hundred twenty-five. If you increase one of these numbers by four, decrease the second by four, the multuply the third by four, and divide the last by four, you will produce four equivalent numbers. What are the four original numbers that sum to 125?

- math -
**John**, Thursday, January 14, 2010 at 4:41pm
If you interpret the question, you can come up with a system of equations to solve, for example:

w + x + y + z = 125

w + 4 = x - 4

3y = z/4

x - 4 = 3y

The first equation comes from the first statement that the four numbers sum to 125. The other three come from the second statement about changing the numbers to make them all equivalent. You can solve the system from here.

## Answer this Question

## Related Questions

Grade 8 Math - Can you write them in Mathematical/numbers form I'll solve them ...

algebra - Find four consecutive odd integers so that five times the sum of the ...

math - By its own claim, HFS, Inc., is world's largest hotel franchising ...

algebra - Five times the smallest of three consecutive odd integers is ten more ...

math - A student planning her curriculum for the upcoming year must select one ...

math - A student planning her curriculum for the upcoming year must select one ...

Math - Paulo withdraws the same amount from his bank account each week to pay ...

Algebra - The sum of the squares of two consecutive positive even integers is ...

English - 1. Cut long rice cake into 4-5 cm pieces. (How do you read '4-5 cm'?) ...

math - The four values x, y, x−y and x+y are all positive prime integers. ...