SOLUTION: The difference between the squares of two numbers is 84. Twice the square of the second number subtracted from the square of the first number is 68. Find the numbers What I have

Algebra.Com
Question 818722: The difference between the squares of two numbers is 84. Twice the square of the second number subtracted from the square of the first number is 68. Find the numbers
What I have:
x^2 - y^2 = 84
2y^2 - x^2 = 68 ?????
Found 2 solutions by jhunjiro, MathTherapy:
Answer by jhunjiro(67)   (Show Source): You can put this solution on YOUR website!
Let:
x=1st number
y=2nd number
1st eq. x^2 - y^2 = 84
2nd eq. x^2 -2y^2= 68
Solution:


Substitution:


=







FINAL ANSWER:












Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

The difference between the squares of two numbers is 84. Twice the square of the second number subtracted from the square of the first number is 68. Find the numbers
What I have:
x^2 - y^2 = 84
2y^2 - x^2 = 68 ?????

That's INCORRECT!!


You have the 1st number as x, so 2nd number is y

It should then be: 

, and 



Solve this system and you should end up with first number: , and second number: 

You can do the check!! 



Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.

Further help is available, online or in-person,for a fee, obviously. 



For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams, 

GENERAL MATH QUESTIONS, MATH HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra,

Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE, GRE, CLEP,

and the GED, you can visit: http://asvabstudyzone.freeforums.net/. 

RELATED QUESTIONS


The difference between the squares of two numbers is 51. Twice the square of the second... (answered by ankor@dixie-net.com)

The difference between the squares of two numbers is 5.Three times the square of the... (answered by ikleyn)

The difference between the squares of two number is 3. Twice the square of the first... (answered by Alan3354)

The difference between the squares of two numbers is 3. Three times the square of the... (answered by Alan3354)

The difference between the squares of two numbers is 5. Three times the square of the... (answered by Boreal)

The difference between the squares of two numbers is 15.  Four times the square of the... (answered by ikleyn)

The difference between the squares of two numbers is 8.  Three times the square of the... (answered by ikleyn)

The difference between the squares of two numbers is 21.  Three times the square of the... (answered by Alan3354,greenestamps)

The difference between two numbers is 2. Their product is 84 greater than the square of... (answered by amarjeeth123)