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Grade 12Algebra

A 5 digit no. is reversed.the original no. is subtracted from it.then the greatest prime factor of the difference is?

Profile image of Akhil Chinnu
10 Years agoGrade 12
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1 Answer

Profile image of Apoorva Arora
ApprovedApproved Tutor Answer10 Years ago
Let number be abcde
Value will be 10000a + 1000b + 100c + 10d + e
Reversed number will be 10000e + 1000d + 100c + 10b + a

Sbutracting we get ( 9999e + 990d –990b- 9999a)= 11*9 ( 101e + 10d –10b – 101a)
So 11 is highest prime factor.