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

• ans b)270
  x-y=1365
  divide larger number by the smaller, we get 6 as quotient and the 15 as remainder
  x/y=6 quotient and 15 reminder convert this as
  x=6y+15
  apply this x in above eqn
  therefore,
  6y+15-y=1365
  5y+15=1365
  y+3=273
  y=270
  so ans is b)270.
  
  
  
• 13 years agoHelpfull: Yes(16) No(2)
• x=6y+15
  x-y=1365
  So,y=270
• 13 years agoHelpfull: Yes(4) No(0)
• Take x as larger number and y as smaller, then form the equations from the details given as,
  x-y=1365----------(1)
  x=6y+15------------(2)
  solve the two equations
  we get y=270
  so b is the answer
  
• 13 years agoHelpfull: Yes(4) No(1)
• given 2 equations
  x-y=1365............(1)
  we can write x= y+ 1365
  x=6y+15...(2)
  substitute in 2
  y+1365 = 6y +15
  1365=5(y+3)
  273-3=y
  y =270
  
• 9 years agoHelpfull: Yes(1) No(1)
• Let us consider the two numbers are a and b,
  a-b=1365.....(1)
  divide larger number by the smaller, we get 6 as quotient and the 15 as remainder;
  a=bQ+R;
  substitute the values Q=6,R=15;
  a=6b+15......(2)
  substitute 2 in 1
  6b+15-b=1365
  5b=1350
  b=270
  hence small number is 270.
• 8 years agoHelpfull: Yes(0) No(0)
• x-y=1365
  x/y=6,x=6y remainder is 15
  x=6y+15
  6y+15-y=1365
  5y=1350
  y=270
• 6 years agoHelpfull: Yes(0) No(0)