1.

Let A3BC and DE2F be four-digit numbers where each letter represents a different digit greater than 3. If the sum of the numbers is 15902, then what is the difference between the values of A and D?1. 12. 23. 34. 4

Answer» Correct Answer - Option 3 : 3

Let A3BC and DE2F be four-digit numbers where each letter represents a different digit greater than 3.

The sum of the numbers is 15902.

Calculations :

Add both the terms 

 A3BC + DE2F = 15902 

We will start from basic of adding 

Firstly we will add C + F 

C + F = 2, so C + F must be 12 so C and F can be either (5, 7) or (4, 8) as numbers are different and more than 3 

Now, B + 2 = 10 

So B must be 7 as the sum of C and F will give a carry of 1 for this step. 

Now, 3 + E = 9 

So, E must be 5 as it will get 1 as carry from the sum of B + 2 

Now in last step, A + D = 15 

So, A and D can be (7, 8) or (9, 6) 

But it is given all digits are different so, 

A and D must be (9 or 6) as B already has the value 7.

Now the difference between A and D = |9 - 6| 

⇒ 3 

∴ The difference between A and D will be 3.


Discussion

No Comment Found

Related InterviewSolutions