SOLUTION: Your task is to find two different numbers that sum to 1000. One number must be a multiple of 19 and the other number must be a multiple of 47. Show or explain how you got

Question 561849: Your task is to find two different numbers that sum
to 1000. One number must be a multiple
of 19 and the other number must be a multiple of 47.
Show or explain how you got your answer.

Answer by TutorDelphia(193) (Show Source): You can put this solution on YOUR website!
There is no way that I know to do this algebraically
However we can take 1000 and subtract multiples of 47 until we find a number that is divisible by 19. The easiest way to do this is to use excel.
=cell above - 47
1000 = cell to the left divided by 19
953 50.15789474
906 47.68421053
859 45.21052632
812 42.73684211
765 40.26315789
718 37.78947368
671 35.31578947
624 32.84210526
577 30.36842105
530 27.89473684
483 25.42105263
436 22.94736842
389 20.47368421
342 18
295 15.52631579
248 13.05263158
201 10.57894737
154 8.105263158
107 5.631578947
60 3.157894737
13 0.684210526

Therefore 342 and 1000-342 is my other number
so 342 and 658

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