Find the three digit number whose consecutive number form a G.P. If we subtract 792 from this number, we get a number consisting of the same digits written in the reverse order. Now if we increase the second digit of the required number by 2, the resulting number will form an A.P.
Text Solution
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Let the three digit be a, ar, ar 2 then according to hypothesis
100 a + 10 ar + ar 2 +792 = 100 ar 2 + 10 ar + a
⇒ ⇒ 
.....................................(1)
and a , ar + 2, ar 2 are in A.P.
then 
⇒ ⇒ 
.........................(2)Dividing (1) by (2),
Then 
⇒ ⇒ 
⇒ ⇒ 
∴ ∴ r = 3 from (1), a =1
Thus digits are 1, 3, 9 and so the required number is 931.
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