1. The problem states ages of Jack (10 years), Kylie (17 years), and Vanessa (23 years), and a total amount of £16 shared between Kylie and Vanessa in the ratio of their ages. 2. Find the ratio of their ages: Kylie : Vanessa = 17 : 23. 3. The total parts in the ratio are 17 + 23 = 40 parts. 4. Kylie’s share is \( \frac{17}{40} \times 16 = 6.8 \). 5. Vanessa’s share is \( \frac{23}{40} \times 16 = 9.2 \). 6. Kylie gives 20% of her share to Jack: \( 0.20 \times 6.8 = 1.36 \). 7. Vanessa gives a quarter (25%) of her share to Jack: \( 0.25 \times 9.2 = 2.3 \). 8. The total amount Jack receives from both is \( 1.36 + 2.3 = 3.66 \). 9. Hence, Jack receives £3.66 from their shares after the transfers.