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4 April, 07:42

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?

+3
Answers (2)
  1. 4 April, 08:36
    0
    Alice had £18 and Alice had £4
  2. 4 April, 09:03
    0
    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
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