Two 3 digit numbers are formed using the same integers and when they are added they form another 3 digit number with the same integers, find the added number?
Answers
Answer:
954
Step-by-step explanation:
The question is trying to say that we hace to use the digits of one of the options given , and make two numbers from it by shuffling them and get the sum of the numbers . Then the sum which you got should contain those digits which you used to construct the initial two numbers.
459+495= 954
Given :-Two 3 digit numbers are formed using the same integers and when they are added they form another 3 digit number with the same integers, find the added number ?
A) 954
B) 683
C) 488
D) 890
Solution :-
Checking all options one by one we get :-
A) 954 :-
Possible 3 digits from 9, 5 and 4 less than sum 954 are :-
- 459
- 495
- 549
- 594
then,sum of three digits :-
- 459 + 495 = 954 .
- 459 + 549 = 1008 .
- 459 + 594 = 1053 .
- 495 + 549 = 1044 .
- 495 + 594 = 1089 .
- 549 + 594 = 1143 .
B) 683 :-
Possible 3 digits from 6, 8 and 3 less than sum 683 are :-
- 386
- 368
then,sum of three digits :-
- 386 + 368 = 754 .
C) 488 :-
Possible 3 digits from 4, 8 and 8 less than sum 488 are :-
- None .
- Since possible three digits formed sum will always be greater then given sum .
D) 890 :-
Possible 3 digits from 8, 9 and 0 less than sum 890 are :-
- None .
therefore, we can conclude that, 459 and 495 are two 3 digit numbers whose sum 954 is equal to digit number with the same integers .
Hence, Option (A) 954 is the added number.
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