SOLUTION: Andrew has more money than Ben, if Andrew gave Ben �20, they would have the same amount, while if Ben gave Andrew �22, Andrew would have then have twice as much as Ben. So, new

Question 1097900: Andrew has more money than Ben, if Andrew gave Ben �20, they would have the same amount, while if Ben gave Andrew �22, Andrew would have then have twice as much as Ben.
So, new working
A-20 = B+20
B-22 =2A +22
Solve for one, substitute new value into other equation. I "solved" equation 2, and got:
B=2A+44
substituting it into equation 1:
A-20=2A+44+20
A=2A+84
A=84
I ended up with a result of 84 (wrong)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!

the problem states:

Andrew has more money than Ben, if Andrew gave Ben �20, they would have the same amount, while if Ben gave Andrew �22, Andrew would have then have twice as much as Ben.

Andrew has more money than Ben leads to:

A > B.

if Andrew gave Ben 20, they would have the same amount leads to:

A - 20 = B + 20

if Ben gave Andrew 22, Andrew would have twice as much as Ben leads to:

A + 22 = 2 * (B - 22).

you have:

A - 20 = B + 20
A + 22 = 2 * (B - 22)

simplify to get:

A - 20 = B + 20
A + 22 = 2B - 44

get all the A's and B's on the same side of the equation and you get:

A - B = 40
A - 2B = -66

subtract the second equation from the first and you get:

B = 106

use either of the first two original equations to find the value of A.

i used the second one.

A + 22 = 2 * (B - 22)
when B = 106, this becomes A + 22 = 2 * (106 - 22).
subtract 22 from both side and simplify to get A = 146.

you have A = 146 and B = 106

evaluate both original equations to see if they hold true with these values for A and B.

A - 20 = B + 20 becomes 146 - 20 = B + 20 which becomes 126 = 146 which is true.

A + 22 = 2 * (B - 22) becomes 146 + 22 = 2 * (106 - 22) which becomes 168 = 2 * (84) which becomes 168 = 168 which is true.

the values for A and B are good.

your solution is that A = 146 and B = 106.

RELATED QUESTIONS
rita has two more than three times the number of baseball cards then ben has. if rita... (answered by jojo14344)

Megan has $100 more than Andrew. After Megan spends $20 on groceries she'll have 5 times (answered by geraldhgr)

Hi Sally spent 3/7 of her money while Andrew spent $36. When his father gave him $20... (answered by mananth,josgarithmetic)

Andy and Ben had a total of $60. If Andy gave been $8.they would have an equal amount.of... (answered by ankor@dixie-net.com)

Ann, Ben, and Carol have some money. If Ann gives Ben 30 cents, then Ben will have twice... (answered by richwmiller)

Hi steve and andrew had $540 altogether. Steve gave 1/7 of his money to andrew. In... (answered by jorel1380)

Ben has 20 coins. They are all quarters, dimes, or nickels. What is the greatest amount... (answered by Edwin McCravy)

angela has more money than carla. If angela gave carla 20$, they would have the same... (answered by ikleyn,mananth,greenestamps)

bill has four times as much money as ben. If bill give ben $24 they would each have the... (answered by ikleyn)