How many children does Brenda's family actually have? (II)

Algebra Level 3

Mr and Mrs Tan have a few children with one daughter named Brenda and the rest all sons. 3 years ago, the sum of Mr and Mrs Tan's children was \(\frac{3}{5}\) the sum of their ages. This year, the ratio is \(\frac{2}{3}\). 9 years later, the ratio becomes \(\frac{5}{6}\). How many children do the Tans have?

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