The sum of four numbers is 100.
If you add 4 to the first number,
subtract 4 from the second number,
multiply the third number by 4, or
divide the fourth number by 4,
the result will be the same.
What are the four original numbers?
Solution to the Problem:
The numbers are 12, 20, 4, and 64.
If your 4 numbers are called, w, x, y, and z,
you have w + 4 = x - 4 = 4y = z/4.
From this, the four numbers can be represented as
w, w + 8, (w + 4)/4, and 4 (w + 4).
Then solve for w in the equation:
w + w + 8 + (w + 4)/4 + 4 (w + 4) = 100.
w = 12.
Substitute to get the other three numbers.
Correctly solved by:
| 1. Tawny Bugas |
Mountain View High School, Mountain View, Wyoming |
| 2. John Funk | Ventura, Californina |
| 3. Fawn Nguyen | Somis, California |
| 4. Katie Hyde |
John Handley High School, Winchester, Virginia |
| 5. Brian Packham |
Anderson Middle School, Anderson, California |
| 6. David & Judy Dixon | Bennettsville, South Carolina |
| 7. Austin Hale |
Mountain View High School, Mountain View, Wyoming |
| 8. Jeremy Harmon |
Mountain View High School, Mountain View, Wyoming |
| 9. Marci Harvey |
Mountain View High School, Mountain View, Wyoming |
| 10. Cassie Henry |
Mountain View High School, Mountain View, Wyoming |
| 11. Kaycie Rees |
Mountain View High School, Mountain View, Wyoming |
| 12. Tori Johnson |
Mountain View High School, Mountain View, Wyoming |
| 13. Brandon Preston |
Mountain View High School, Mountain View, Wyoming |