the digits of a three digit number are in AP their sum is 18 and the number obtained by reversing the digits is 594 less than the original number find the original number
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Step-by-step explanation:
Let the hundred's, ten's and unit digit's be a+d,a,a−d
Then, a+d+a+a−d=15
⇒3a=15⇒a=5
[100(a+d)+10a+(a−d)]−[100(a−d)+10a+(a+d)]=594
⇒99d+99d=594⇒198d=594⇒d=3
Hence, the requried number is 852
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