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find the value of A in the following addition. 6 A 8 +8 2 A _______ 1 4 9 4 _______


itzarpu 7th Jun, 2021
Answer (1)
Sharon Rose Student Expert 29th Jun, 2021

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.

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