find 3 consecutive odd integers, all less than 100, such that the sum of their squares forms a Unidigit (that is, all its digits are the same). Thus, for integer abc, a^2 + b^2 +c^2 equals a Unidigital. Choose the correct choice from the following options.
A) 39,43,45 B) 43,45,47 C) 45,47,49 D) 41,43,45 E) 41,43,47
If numbers are x,x-2,x+2, then   x^2+(x+2)^2 =(x-2)^2 = x^2+2x^2+8 = 3x^2+8   Now 3x^2+8 should be unidigital.   checking different combinations , we get   x=43.   so numbers are 41,43,45   ANSWER:41,43,45
<result>D</result>
find 3 consecutive odd integers, all less than 100, such that the sum of their squares forms a Unidigit (that is, all its digits are the same). Thus, for integer abc, a^2 + b^2 +c^2 equals a Unidigital.