when numbers are written in base b, we have 12*25 = 333.what is the value of b?

• in base b, 12*25=333 means b must be greater then 5.
  multiply the unit digits normally, 2*5=10.
  unit digit of product is 3.
  10-3=7.
  hence, b=7
• 10 years agoHelpfull: Yes(13) No(0)
• Ans:7
  12*25=333
  LHS=RHS
  Take Option to we can solve quickly..
  12*25
  7*1+2=9
  2*7+5=19
  9*19=171
  -----------
  333
  (7^2)*3+3*7+3=171
  -----------
  171=171
  LHS=RHS
  -----------
• 10 years agoHelpfull: Yes(10) No(0)
• ans is 7
  (b+2)(2b+5)=3b^2+3b+3 gives b=7 and -1 but -1 is rejected so ans is 7
• 10 years agoHelpfull: Yes(4) No(0)
• given 12*25=333
  let base be b
  (b+1)*(2b+5)=3b^2+3b+3
  by solving we get b=7
• 10 years agoHelpfull: Yes(3) No(0)
• 11/2 value of b
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• what is the meaning of b here ? What is base?
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• 12 to the base b = 1*b¹+2*b⁰ = b+2 to the base 10
  25 to the base b = = 2b+5
  
  12* 25 = (b+2)(2b+5) = 2b²+9b+10
  
  333 to the base b = 3b² +3b+3 to the base 10
  
  therefore 2b² + 9b+10 = 3b² +3b+3
  
  b² - 6b -7 =0
  b= 7,-1
  
  b=7
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