Question

11. Given that the four letters O, L, Y, M represent four different digits and the sum of the four numbers OLYM, LOMY, YMOL, MYLO is equal to 29997. What is the value of the sum 0 + L+Y+M? ​

Answer 1

27

Explanation:

`OLYM = 1000O + 100L + 10Y + M \\ \\ LOMY=1000L+100O+10M+Y \\ \\ YMOL=1000Y+100M+10O+L \\ \\ MYLO=1000M+100Y+10L+O \\ \\ OLYM+LOMY+YMOL+MYLO=1111O+1111L+1111Y+1111M \\ \\ 1111O+1111L+1111Y+1111M=29997 \\ \\ O+L+Y+M=27`