Ann the $198 more than her sister. After their mother Gave Ann $20 and her sister $60, Ann had twice as much as her sister. How much money did Ann have at first?

It's easy for people that know algebra!

Let us assume the initial money that Ann had = x dollars

Let us assume the initial money that her sister had = y dollars

Amount that Ann had after their mother gave $ 20 = (x + 20) dollars

Amount that her sister had after their mother gave $60 = (y + 60) dollars

Then

x - y = 198

x + 20 = 2 (y + 60)

The above two equations can be deduced from the details given in the question. Noe let us take the first equation and deduce the value of y in terms of x

Then

x - y = 198

-y = 198 - x

y = x - 198

Now we will put the value of x in the second equation, we get

x + 20 = 2 (y + 60)

x + 20 = 2 (x - 198 + 60)

x + 20 = 2x - 396 + 120

x - 2x = 120 - 20 - 396

-x = - 296

x = 296

So the initial amount that Ann had was $296.

x = 496/3

= 165.33 dollars