I have a Maths problem.
Please help me to solve it.
1)For a three-digit number, the tens digit is the same as the units digit. When the hundreds digit and the units digit are swapped, the new three-digit number is greater than the original number by 198. If the sum of the hundreds and tens digits is 6, find the original number.
Please show your process of the operation with your answer.
數學的問題(linear equations)
2008-12-28 2:48 am
回答 (1)
2008-12-28 3:20 am
✔ 最佳答案
Let the tens and units digit be x.so the hundred digit is (6 -x).
Original number's value = 100(6 -x) + 10 x + x = 600 - 89x.
Value of the new number when swapped = 100x + 10x + (6 -x) = 109x + 6.
Therefore,
109x + 6 - (600 - 89x ) = 198
198x - 594 = 198
198x = 792
x = 4.
So the original number is 244.
收錄日期: 2021-04-13 16:20:26
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20081227000051KK01497