SOLUTION: find two numbers whose sum is 12 and whose difference between their squares is 48.

Question 73655: find two numbers whose sum is 12 and whose difference between their squares is 48.

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the two numbers be a and b. From the problem description, you can write:
1) and
2)
Rewrite equation 1) as: a = 12-b and substitute for the a in equation 2).
2a) Simplify and solve for b.

Add 24b to both sides.
Subtract 48 from both sides.
Divide both sides by 24.
and...

The two numbers are 4 and 8
Check:
= 12 Their sum is 12.

The difference of their squares is 48.

RELATED QUESTIONS
find two numbers whose sum is 12 and whose difference between their squares is... (answered by rajagopalan)

Find two numbers whose sum is 11 and whose difference between their squares is 33? (answered by Fombitz)

Find two numbers whose sum is 11 and whose difference between their squares is... (answered by ikleyn)

find two numbers whose sum is 13 and the difference of their squares is... (answered by srinivas.g)

Find two numbers whose sum is 23 and the difference of whose squares is... (answered by mducky2)

Find two numbers whose difference is 5 and the difference of their squares is... (answered by gc2000)

Find two numbers whose difference is 4 and the difference of their squares is... (answered by lwsshak3)

Find two numbers whose difference is 8 and the difference of their squares is... (answered by vleith)

Find two whole numbers whose sum is 60 and whose difference is 12 (answered by DrBeeee)