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The digits of a three digit number forms a Gp. If we subtract 400 From it, then we get another 3 Digit Number whose digits Forms an Arithmetic series. What is The Sum Of These two Numbers?

Gunjan , 6 Years ago
Grade 12th pass
anser 2 Answers
Arun

Last Activity: 6 Years ago

 
Dear student
 
Let the digits are x , y and z
 
hence number is 100z + 10 y + x
 
y^2 = xz Hence xz must be a square number
 
xz = 9
 
hence y = 3
 
now some hit and trial,
x = 1 , z= 9
 
hence number is 931
 
 
subtract 400,
931 –  400 = 531
 
hence 931 + 531 = 1462
Arun

Last Activity: 6 Years ago

 
Let the digits are x , y and z
 
hence number is 100z + 10 y + x
 
y^2 = xz Hence xz must be a square number
 
xz = 9
 
hence y = 3
 
now some hit and trial,
x = 1 , z= 9
 
hence number is 931
 
 
subtract 400,
931 –  400 = 531
 
hence 931 + 531 = 1462
 
Hope it helps
 
Regards
Arun (askIITians forum expert)
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