SOLUTION: Find the value of each letter so that the equation below is true . Each letter represents a distinct digit. Coca + cola equal soda

Question 577028: Find the value of each letter so that the equation below is true . Each letter represents a distinct digit. Coca + cola equal soda
Answer by KMST(5397) (Show Source): You can put this solution on YOUR website!
A+A=A for the ones digit means
O cannot be 0 too, so for the hundreds digit O+O+1(carried over)=10+O, so
(2O+1=10+O --> O+1=10 --> O=9)
At the same time, as 9+9+1(carried over)=19 when adding the hundreds, there is 1 carried over to the thousands
Because there was that 1 carried over from the sum of the tens digit, C+L=10+D.
And since ,
For the thousands digit C+C+1 (carried over)=S<9 --> 2C+1=S<9 so C<4
If C<4 and , then L>7.
Since L cannot be 9, because O=9, then
And since , then ,
and C+L=11=10+D so
and 2C+1=S gives us S=2(3)+1=6+1, so .

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