SOLUTION: Hello. Please help me on my homework. I couldn't find a resonable answer to this problem. The problem is: The sum of Paul and Beth Taulman's ages now is 67 years. Eight years ago

Question 9432: Hello.
Please help me on my homework. I couldn't find a resonable answer to this problem. The problem is: The sum of Paul and Beth Taulman's ages now is 67 years. Eight years ago Paul was twice as old as Beth. How old is each now?
Please reply as soon as possible. Thank you for your time.
Julia
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Let P= Paul's age now
B = Beth's age now
P-8 = Paul's age 8 years ago
B-8 = Beth's age 8 years ago

First equation,
P+ B= 67, which means that B = 67 - P

Second equation,
P-8 = 2(B-8)

Substitute the B = 67 - P into the second equation:
P - 8 = 2(B - 8)
P - 8 = 2(67 - P - 8)
P - 8 = 134 - 2P - 16
P - 8 = 118 - 2P

Add + 2P to each side:
P + 2P - 8 = 118 - 2P + 2P
3P - 8 = 118
3P = 126
P = 42

B= 67 - P
B = 67 - 42
B = 25

Check: Eight years ago, Paul was 34 and Beth was 17, and Paul was twice as old as Beth.

R^2 at SCC

RELATED QUESTIONS
The total cost (in dollars) of producing x food processors is C(x) = 2500 + 80x - 0.3x^2 (answered by ikleyn)

Hello, I am stuck on a problem for homework and need some help. I worked it out but am... (answered by Alan3354)

I tried to do this problem with the example from the site, yet couldn't find the right... (answered by Boreal)

Hi I need help with my homework would you please help me. Thank you. Use the formula... (answered by josgarithmetic)

Please help me solve this math problem, i am really confused. the problem is directly... (answered by Fombitz)

Hello! Have a tough word problem on my algebra 2 homework... I would love if you could... (answered by Fombitz)

Hi I need help on my homework. Would you kindly please show me how to solve this problem. (answered by josgarithmetic)

The directions for the problem is "Solve each equation for x to three significant digits� (answered by fractalier)

Please solve: how do I enter a power at symbol on my computer? my algebra problem is: (answered by solver91311)