Question

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?​

Answer 1

Answer:

Alice had £18 and Alice had £4

Answer 2

Answer:

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