KarunMendiratta wrote:
A two digit number and a three digit number is formed using digits: 4, 5, 7, 8, and 9. The digits are used only once in each of the number and the sum of these two numbers is 555. How many different combinations are possible?
A. 2
B. 3
C. 4
D. 5
E. 6
OA ExplanationSince the sum of these 2 numbers is 555, we cannot have any number in 5 _ _ , 7 _ _ , 8 _ _ , 9 _ _ form!
Also, the units digit of 555 is 5 and only 7 + 8 will give us the units digit as 5
4 _ _ + _ _
Case I:
4 _ 7 + _ 8
we can have 2 combinations: 497 + 58 and 457 + 98
Case II:
4 _ 8 + _ 7
we can have 2 combinations: 498 + 57 and 458 + 97
So, a total of 4 combinations
Hence, option C