The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number?

(a) 240 (b) 270 (c) 295 (d) 360

• to solve this problem, create equations first..
  By considering the given data, it is clear that
  x-y=1365 and 6y+15=x
  (Note: Here 'x' and 'y' are the two numbers)
  By rearranging the eqns., we get x=1365+y
  Substituting this in the other eqn., we get
  6y+15=1365+y
  which can be simplified to get y=270
  Ans:270
  
• 13 years agoHelpfull: Yes(10) No(0)
• b ) 270
  Let the Large Number be x and Small Number be y
  Given x-y =1365
  x=6(y)+15
  on sub the value of x= 1365+y on the above eqn we get
  1365+y = 6(y)+15
  5y=1365 >> y= 270
• 13 years agoHelpfull: Yes(4) No(1)
• let the larger number is x and smaller is y.
  now x-y=1365....(1)
  again dividend=divisor*quotient+remainder
  therefore x=6y+15 put in ..(1)
  6y+15-y=1365
  or 5y=1350
  or y=270
  hence answer is (b)270
• 13 years agoHelpfull: Yes(3) No(0)
• ANS: 270
  given x-y=1365...(1)
  and x=6y+15...(2)
  solving (1) and (2)
  we get smaller num y=270
• 13 years agoHelpfull: Yes(1) No(0)
• the two numbers are 270 and 1635...
  
  let two no's be x and y..
  y-x=1365
  y-6x=15
  
  solve and get x and y...
• 13 years agoHelpfull: Yes(1) No(2)
• x-y=1365
  another equation is 6y+15=x
  on solving we get 270
• 13 years agoHelpfull: Yes(0) No(0)
• The ans. is B) 270
• 13 years agoHelpfull: Yes(0) No(1)
• check the option all and
  write is (b)
  
  270)1365(5
  1350
  --------------
  15
• 4 years agoHelpfull: Yes(0) No(0)