How much?

Algebra Level 2

A man leaves £569,000 to his wife, children, and a distant relation ; the wife to receive a certain sum, his children half as much, and the distant relation the residue. The wife paid no legacy duty ; the children paid 1 per cent, and the distant relation 10 per cent. It was then found that the distant relation had as much as the wife and children together. How much was left to the wife (in £)?

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