ABC is a three digit number in which the digit A is greater than the digit B and C. If the difference between ABC and CBA is 297 and the difference between ABC and BAC is 450 find all possible three digit numbers ABC and find their sum also.
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Answered by
2
Answer:
A B C Number
5 0 2 502
6 1 3 613
7 2 4 724
8 3 5 835
9 4 6 946
and sum = 502+613+724+835+946=3620
Step-by-step explanation:
A > B and C
So ABC-CBA=297...........(1)
A>C So and C+10-A=7
A-C=3........................(2)
ABC-BAC=450
B-A=5
But A>B
so B+10-A=5
A - B= 5................(3)
C-B=2..............(4)
Now A is at 100's place so A > 0
and A=B+5 and C=B+2
So if B=0,A=5 and C=2
So the possible values of A,B and C are
A B C Number
5 0 2 502
6 1 3 613
7 2 4 724
8 3 5 835
9 4 6 946
and sum = 502+613+724+835+946=3620
Answered by
0
☺answer:
upper answer is right....
sorry
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