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The digits Of a three digit number form a G.P.If we subtract 792 from this number whose digits are written in reverse order .If we increase the middle digit of a given number by 2, then the digits form an A.P.find numbers?

The digits Of a three digit number form a G.P.If we subtract 792 from this number whose digits are written in reverse order .If we increase the middle digit of a given number by 2, then the digits form an A.P.find numbers? 

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1 Answers

Badiuddin askIITians.ismu Expert
148 Points
13 years ago

DEar love

let the number are ar2,ar,a

 given   ar2,ar+2 ,a  are in AP

        so 2(ar+2) = ar2 +a

             a(r-1)2 =4 .............1

and given   ar2*100 + ar*10 +a -792 = a*100 + ar*10 + ar2

                      a(r2-1)=8 .......2

from equation 1 and 2nd

 a=1 ,r=3

so number are   = 931

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