# Hundred Sum and Prime Puzzle

by K Sengupta
Tags: prime, puzzle
 P: 110 Substitute each of the capital letters by a different digit from 1 to 9 to satisfy this cryptarithmetic equation: (P*Q)/R + (S*T*U)/V + W*X = 100, where the 2-digit number WR is prime.
 P: 681 My solution to it: Spoiler In total there are 36 solutions: p=4 q=8 r=1 s=2 t=3 u=5 v=6 w=7 x=9 p=100.0 wr=71 counter=1 p=4 q=8 r=1 s=2 t=5 u=3 v=6 w=7 x=9 p=100.0 wr=71 counter=2 p=4 q=8 r=1 s=3 t=2 u=5 v=6 w=7 x=9 p=100.0 wr=71 counter=3 p=4 q=8 r=1 s=3 t=5 u=2 v=6 w=7 x=9 p=100.0 wr=71 counter=4 p=4 q=8 r=1 s=5 t=2 u=3 v=6 w=7 x=9 p=100.0 wr=71 counter=5 p=4 q=8 r=1 s=5 t=3 u=2 v=6 w=7 x=9 p=100.0 wr=71 counter=6 p=7 q=9 r=1 s=2 t=3 u=5 v=6 w=4 x=8 p=100.0 wr=41 counter=7 p=7 q=9 r=1 s=2 t=5 u=3 v=6 w=4 x=8 p=100.0 wr=41 counter=8 p=7 q=9 r=1 s=3 t=2 u=5 v=6 w=4 x=8 p=100.0 wr=41 counter=9 p=7 q=9 r=1 s=3 t=5 u=2 v=6 w=4 x=8 p=100.0 wr=41 counter=10 p=7 q=9 r=1 s=5 t=2 u=3 v=6 w=4 x=8 p=100.0 wr=41 counter=11 p=7 q=9 r=1 s=5 t=3 u=2 v=6 w=4 x=8 p=100.0 wr=41 counter=12 p=8 q=4 r=1 s=2 t=3 u=5 v=6 w=7 x=9 p=100.0 wr=71 counter=13 p=8 q=4 r=1 s=2 t=5 u=3 v=6 w=7 x=9 p=100.0 wr=71 counter=14 p=8 q=4 r=1 s=3 t=2 u=5 v=6 w=7 x=9 p=100.0 wr=71 counter=15 p=8 q=4 r=1 s=3 t=5 u=2 v=6 w=7 x=9 p=100.0 wr=71 counter=16 p=8 q=4 r=1 s=5 t=2 u=3 v=6 w=7 x=9 p=100.0 wr=71 counter=17 p=8 q=4 r=1 s=5 t=3 u=2 v=6 w=7 x=9 p=100.0 wr=71 counter=18 p=8 q=9 r=3 s=4 t=5 u=7 v=2 w=1 x=6 p=100.0 wr=13 counter=19 p=8 q=9 r=3 s=4 t=7 u=5 v=2 w=1 x=6 p=100.0 wr=13 counter=20 p=8 q=9 r=3 s=5 t=4 u=7 v=2 w=1 x=6 p=100.0 wr=13 counter=21 p=8 q=9 r=3 s=5 t=7 u=4 v=2 w=1 x=6 p=100.0 wr=13 counter=22 p=8 q=9 r=3 s=7 t=4 u=5 v=2 w=1 x=6 p=100.0 wr=13 counter=23 p=8 q=9 r=3 s=7 t=5 u=4 v=2 w=1 x=6 p=100.0 wr=13 counter=24 p=9 q=7 r=1 s=2 t=3 u=5 v=6 w=4 x=8 p=100.0 wr=41 counter=25 p=9 q=7 r=1 s=2 t=5 u=3 v=6 w=4 x=8 p=100.0 wr=41 counter=26 p=9 q=7 r=1 s=3 t=2 u=5 v=6 w=4 x=8 p=100.0 wr=41 counter=27 p=9 q=7 r=1 s=3 t=5 u=2 v=6 w=4 x=8 p=100.0 wr=41 counter=28 p=9 q=7 r=1 s=5 t=2 u=3 v=6 w=4 x=8 p=100.0 wr=41 counter=29 p=9 q=7 r=1 s=5 t=3 u=2 v=6 w=4 x=8 p=100.0 wr=41 counter=30 p=9 q=8 r=3 s=4 t=5 u=7 v=2 w=1 x=6 p=100.0 wr=13 counter=31 p=9 q=8 r=3 s=4 t=7 u=5 v=2 w=1 x=6 p=100.0 wr=13 counter=32 p=9 q=8 r=3 s=5 t=4 u=7 v=2 w=1 x=6 p=100.0 wr=13 counter=33 p=9 q=8 r=3 s=5 t=7 u=4 v=2 w=1 x=6 p=100.0 wr=13 counter=34 p=9 q=8 r=3 s=7 t=4 u=5 v=2 w=1 x=6 p=100.0 wr=13 counter=35 p=9 q=8 r=3 s=7 t=5 u=4 v=2 w=1 x=6 p=100.0 wr=13 counter=36

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