SOLUTION: The difference between two positive numbers is 4. If twice the square of the larger number is added to three time the smaller, the sum is 53.

Question 144713: The difference between two positive numbers is 4. If twice the square of the larger number is added to three time the smaller, the sum is 53.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Larger positive number:
Smaller positive number:
Difference
Twice the square of the larger:
Three times the smaller:
The sum is 53:

Re-write the difference equation:

Substitute in the other equation:

Solve the quadratic (it factors) for x. Discard the negative root since the question asked for a pair of positive numbers. Then subtract 4 to get y.
RELATED QUESTIONS
the difference between two positive numbers is 4. If twice the square of the larger... (answered by ankor@dixie-net.com)

The differece between two positive numbers is 4. If twice the square of the larger number (answered by stanbon,Alan3354)

The difference between two positive numbers is 4. If twice the square of the larger... (answered by ankor@dixie-net.com)

The difference between two positive integers is 5. If the smaller number is added to the... (answered by oscargut)

The difference between two positive integers is 4. If the smaller is added to the square... (answered by mananth)

The difference between two positive integers is 4. If the smaller is added to the square... (answered by josgarithmetic)

The difference between two positive numbers is 4 .If twice the number is added to three... (answered by Mathtut)

the difference between 2 numbers is three if the square of the smaller number is equal to (answered by stanbon,Cromlix)

The difference between two positive integers is 5. If the smaller is added to the square... (answered by stanbon)