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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?
8 months 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
8 months 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)
8 months ago
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