Question

BIG POINTS!!!+BRAINLIEST ANSWER! BONUS!!!

Answer 1

Answer:

Originally

The number of coins in the first box was $67\ coins$

The number of coins in the second box was $83\ coins$

Finally

The number of coins in the first box is $50\ coins$

The number of coins in the second box is $100\ coins$

Step-by-step explanation:

Let

x-----> number of coins in the first box originally

y-----> number of coins in the second box originally

we know that

$x+y=150$

$x=150-y$ -----> equation A

$(y+17)=2(x-17)$ -----> equation B

substitute equation A in equation B

$y+17=2x-34$

$y+17=2(150-y)-34$

$y+17=300-2y-34$

$y+2y=300-34-17$

$3y=249$

$y=83\ coins$

Find the value of x

$x=150-83=67\ coins$

therefore

Originally

The number of coins in the first box was $67\ coins$

The number of coins in the second box was $83\ coins$

Finally

The number of coins in the first box is $(67-17)=50\ coins$

The number of coins in the second box is $(83+17)=100\ coins$