given x=123456 and z=x-y then for how many values of y ,z value found is divide by
48,,98,105 ????

• question is x=12345 z=x-y, find value of z which is divided by 42,49,98,105??
  solution:
  lcm of 42,49,98,105 is 1470
  so till 12345 there are 8 no's which are divided by 1470..so 8 is the answer..!!
• 9 years agoHelpfull: Yes(6) No(4)
• X=123456 LCM of 48,98,105 is 11760. So if a number is divisible by 11760, then it will be divisble by 48,98,105. On dividing X by 11760 we get dividend = 10. So for 10 values of y, z is divisible by 11760. Thus for 10 values of y ,z value found is divide by 48,,98,105. These values of Y are 111696, 99936, 88176, 76416, 64656, 52896, 41136, 29376, 17616, 5856
• 9 years agoHelpfull: Yes(4) No(0)
• if all are +ve integer then ans is 10.
  
• 9 years agoHelpfull: Yes(1) No(0)
• x=123456 & z=x-y=>z+y=123456
  since this line has a -ve slope,so if z decreases the y increases
  z y
  123456 0
  123455 1
  123454 2
  so on
  " " "
  " " "
  0 123456
  consider eighter z or y, let i consiter z as its limit tents to 0
  total solutions of z will be 0 to 123456
  so total count = 123457
  now within 123457 we need to count the numbers divisible by lcm (42,49,98,105)=1470
  =>123457/1470=83.984=> 83 solutions
  NOTE: if we consider the -ve solutions ie y= -1,-2,-3 so on then we will get
  corresponding solution for z. so 1 will tend to +infinity and the other will tend to -infinity so there will be infinite solution
• 9 years agoHelpfull: Yes(0) No(1)