sun and fun rep two 3 digits represents numbers and swim is there four digit sum. Using all the digits 0,1,2,3,6,7,and 9 in place of the letters where no represents two different digit. Determine the value of each letter.
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sun+fun=swim in getting the s in swim we notice that the only possible is 1 so that the s in sun and swim is 1. 1un+fun=1wim the only number to add in 1 to become it a ten consecutive is 9 so that the f is 9. 1un+9un=10im from here we also notice that the addends are the same . the left numbers are 3,6,7,2 to add the 6+6=12 ,3+3=6,7+7=14,2+2=4 7 and 2 is cannot be addends and to the 6, and 2 we get the 2 but not the 7. but the 12 is can be carry.s=1; u;3; n=6; f=9; w=0; i=7; m=2 136+936=1072