# A number theory problem by Hemanth K

**Number Theory**Level 4

x,y are two numbers if they are multiplied with each other in base 8 and in base 10 , the result will be same.and x,y are numbers greater than 8 . then what is the sum of two numbers in base 10. example x=23,y=11; product in base 10 of 24,11 =264 product in base 8 of 24,11=410 but here products are not same(264,410) but in real question the product should be same.