Question 1099464: The difference of two numbers is 35, the difference of their squares is 315. What are these numbers? Found 2 solutions by ikleyn, Alan3354:Answer by ikleyn(52781) (Show Source):
= 315 ====>
(x-y)*(x+y) = 315 ====> replace (x-y) by 35, based on the condition. You will get
35*(x+y) = 315 ====> x + y = = 9.
Thus you reduced the given non-linear system to the simple LINEAR one, consisting of two equations
x - y = 35,
x + y = 9.
-------------------Add the two equations. You will get
2x = 35 + 9 = 44 ====> x = = 22.
One number is 22. Then the other is y = 22 - 35 = -13.
Check. = 315. ! Correct !
Answer. The numbers are 22 and -13.
You can put this solution on YOUR website! The difference of two numbers is 35, the difference of their squares is 315. What are these numbers?
---------
The other tutor's answer is close.
---
Obviously, it's -22 and 13
Or -13 and 22
