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Divisible in reverse

You have two problems to solve. Neither of your answers may have a leading zero.

1) What is the 5-digit positive integer divisible by 17 and 19 whose reverse is a larger integer also divisible by 17 and 19?

2) What is the 5-digit positive integer divisible by 7 and 23 whose reverse is a larger integer also divisible by 7 and 23?

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 10 July. The Editor’s decision is final. Please send entries to Enigma 1753, Â鶹´«Ã½, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1747 Mind your Ps and Qs: P=3 and Q=4

The winner Graham Holmes of Barham, Suffolk, UK