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the digits will be reversed. Find the number.
5. A number consists of three digits, the right hand digit being zero. If the left hand and the middle digits
be interchanged the number is diminished by 180. If the left-hand digit be halved and the middle and
right-hand digits be interchanged the number is diminished by 454. Find the number.
[Hint. Let the original number be 100a - 106-0, ie, 100a - 106. then, by the first condition
(1000 + 106)-(1006 + 10a) = 180 = a-b= 2
By the second condition, new number = 100 x = +0 -0 = 50a + b
0++
2
and so (100a+10b)-(50a + b) = 454 = 50a - 9b = 454).
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