An inheritance of $33000 will be divided between sisters hannah and taylor. if hannah is to receive $1000 less than taylor, how much does each sister receive?

Total amount of money is 33000

There are two recipients of the money, and one is getting 1000 more than the other

Let H = Hannah

Let T = Taylor

T + H = 33000

Since Taylor is getting 1000 more than Hannah, T = H + 1000

So, H + (H + 1000) = 33000

2H + 1000 = 33000

2H = 32000

H = 16000

Hannah gets 16000

Taylor gets 16000 + 1000 = 17000