Answer:
- I have 110 coins, you have 130 coins
Step-by-step explanation:
I have x coins and you have y coins.
According to question we set the following equations.
If you give me 70 coins I will have three times as much money as you:
- x + 70 = 3(y - 70) ⇒ x + 70 = 3y - 210 ⇒ x = 3y - 280
If I give you 70 coins, then you will have five times as much as me:
- y + 70 = 5(x - 70) ⇒ y + 70 = 5x - 350 ⇒ y = 5x - 420
Solve by substitution:
- y = 5(3y - 280) - 420
- y = 15y - 1400 - 420
- 15y - y = 1820
- 14y = 1820
- y = 1820/14
- y = 130
Find the value of x:
- x = 3*130 - 280
- x = 390 - 280
- x = 110
