4 If Alice gives Susan £6.00 the money they each have is in the

ratio 2:1; however, if Susan gives Alice £1.00 the ratio is 1:3.

How much money have Alice and Susan each before they

exchange any money?

Alice had £18 and Alice had £4

Alice and Susan have £62 and £22 respectively before the exchange.

Step-by-step explanation:

Let

A = Alice's total amount before exchange

S = Susan's total amount before exchange

if Alice gives Susan £6.00 and ratio become 2:1

Then (A-6) / (S+6) = 2/1

A-2S=18 eqn (1)

if Susan gives Alice £1.00 and ration becomes 3:1

then (A+1) / (S-1) = 3/1

3A-S = - 4 eqn (2)

solving eqn (1) and eqn (2) simultaneously