A number consists of three digits in `G.P.` The sum of unit's digit and hundred's digit exceeds twice the ten's digit by `1`. The sum of the hundred's digit and ten's digit is two third of the sum of the ten's and unit's digits. Find the numbers

Explanation

Let three number be ` a , ar, ar^(2)`
` a + ar^(2) - 2ar = 1` …(i)
` ar + ar^(2) = (2)/(3) (2ar + 2n) ` …(ii)
` rArr r = - 1 , 2//3 ` (Using (i) and (ii) )
Hence , number is 469 .