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hasnain

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From: Chichawatni

Registered: 2014-10-13

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Addition Sum:

Directions:

Question:
In the above correctly worked addition sum, A,B,C and D represent different digits, and all the digits in the sum are different. What is the sum of A,B,C and D?

Option A):
23
Option B):
18
Option C):
16
Option D):
22

Correct Answer is Option D):
22

Explanation:
First you must realize that the sum of two 2-digit numbers cannot be more that 198 (99 + 99). Therefore in the given problem D must be 1.
Now use trial and error to satisfy the sum 5A + BC = 143
A + C must give 3 in the units place, but neither can be 1 since all the digits have to be different. Therefore A + C = 13.
With one to carry over into the tens column, 1 + 5 + B = 14, and B = 8.
A + C + B + D = 13 + 8 + 1 = 22

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