Prana has a savings account and a chequing

account with a total balance of $85.

His parents doubled the amount in each

account and the new total balance is $170.

How much money does Prana have in each

account?

There is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.

Step-by-step explanation:

Let S represents Prana's savings account and C represents Prana's chequing account.

Prana has a savings account and a chequing account with a total balance of $85.

Mathematically,

S + C = 85 eq. 1

His parents doubled the amount in each account and the new total balance is $170.

Mathematically,

2 (S + C) = 170

2S + 2C = 170 eq. 2

We have two equations and two unknowns.

S + C = 85

S = 85 - C

Substitute the above equation into eq. 2

2S + 2C = 170

2 (85 - C) + 2C = 170

170 - 2C + 2C = 170

2C + 2C = 170 - 170

0 = 0

So what does it mean?

it means that there is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.