Hello,

We can solve the given question by using trail and error method. Substitute the digits from 0-9 in place of A and verify if LHS=RHS

1. If we put 0 then the addition becomes 608+820=  1428 which is not equal to 1494
2. If we put 1 then the addition becomes 618+821=  1439 which is not equal to 1494
3. If we put 2 then the addition becomes 628+822= 1450 which is not equal to 1494
4. If we put 3 then the addition becomes 638+823=1461 which is not equal to 1494
5. If we put 4 then the addition becomes 648+824=1472 which is not equal to 1494
6. If we put 5 then the addition becomes 658+825=1483 which is not equal to 1494
7. If we put 6 then the addition becomes 668+826=  1498 which is equal to 1494 but let's verify the remaining numbers too to check if there is more than one solution
8. If we put 7 then the addition becomes 678+827=1505 which is not equal to 1494
9. If we put 8 then the addition becomes 688+828=1516 which is not equal to 1494
10. If we put 9 then the addition becomes 698+829=1527 which is not equal to 1494

Since, LHS=RHS when we put 6 is A's place the value of A is 6.