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27-08-2022
Mathematics

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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?

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Medunno13 Medunno13

27-08-2022

Answer:

27

Step-by-step explanation:

[tex]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[/tex]

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