SFKX = Four-digit number = S x 1000 + F x 100 + K x 10 + X x 1
( S x 1000 + F x 100 + K x 10 + X ) - ( S + F + K + X ) x 100 = 7236
From here , we can confirm K an X to be 3 and 6 respectively .
This is because of the x 100 .
( S + F + K + X ) x 100 will always end with 2 zeroes behind .
Therefore K and X minus 0 each , is still K and X which is 3 and 6 respectively .
Now we know SFKX = SF36 .
Since F doesn't affect the result of 7236, we exclude F from the calculation .
It can be any whole number from 0 to 9 .
To be simple , we use F = 0 in this case .
Focusing on S , we substitute F = 0 , K = 3 and X = 6 to form this statement .
( S x 1000 + 0 x 100 + 3 x 10 + 6 ) - ( S + 0 + 3 + 6 ) = 7236 [Substitute the values in]
S x 1000 - ( S + 9 ) x 100 = 7200 [Minus 36 from both sides]
1000S - 100S - 900 = 7200 [Expand]
900S = 8100
S = 9
Answer :
S , K and X are 9 , 3 and 6 respectively .
