How many positive integer solutions does the equation 2x+3y = 100 have?

a)50

b)33

c)16

d)35

• formula: (constant)/(lcm of two nos)
  ==100/(2*3)=15.5…(rounded of as 16..)
  
• 12 years agoHelpfull: Yes(24) No(6)
• c)16
  x=(100-3y)/2=50-(3y/2)
  So, y should be in the multiple of 2 till x is positive i.e. y=(2,4,6,...,32).
• 12 years agoHelpfull: Yes(10) No(0)
• u hv given
  x=(100-3y)/2;here we see that for a positive value of x, there would be a range of y from 0 to 32(2,4,6,8.....)
  hence total no of +value is=17
  similarly;
  y=(100-2x)/3;here the range of y is 2 to 47(2,5,8,11......).
  hence total no of +value is=16
  hence total no of positive value would be=33
• 12 years agoHelpfull: Yes(7) No(7)