A palindromic number is one which reads the same backwards as forwards.

1. Find a three-digit palindromic number which is 19 times the sum of its digits.
2. Find all four-digit palindromic number which is 352 times the sum of its digits.
3. Find all triangles with perimeter 36 which have integer side lengths and integer area.
4. Three girls, A, B and C, each have a younger brother, D, E and F, respectively.All six children do some fruit picking for the local farmer.The farmer agrees to pay each child as many dollars per baskets as the number of baskets of fruit collected by that child.Each of the girls earned $45 more than her brother, and all six children collected a different number of baskets.How much did the farmer pay them all in total?
5. Kimy thinks of two positive integers.He multiplies them together and then subtracts each of the integers from the product, with a result of 35. Find all possible pairs of numbers he could have chosen.