29. The difference and the product of two numbers are 32 and 2145 respectively. Their sum is:
(a) 89
(b) 98
(c) 78
(d) 87

• (a+b)^2=a^2 + b^2+ 2ab eq (1)
  (a-b)^2 = a^2 + b^2 - 2ab eq (2)
  from eq (2), we get,
  a^2 + b^2 = (a-b)^2 + 2ab eq (3)
  put this value of a^2 + b^2 in eq (1)
  we get,
  (a+b)^2 = (a-b)^2 + 2ab + 2ab
  = (a-b)^2 + 4ab
  = 32^2 + 4 * 2145
  = 9604
  (a+b) = (9604)^1/2
  = 98 ans.
• 9 years agoHelpfull: Yes(7) No(0)
• (A+B)=root over(A-B)^2+4AB
  A-B=32;AB=2145;
  (A+B)^2 = 32^2+4*2145=9604;
  (A+B)=98
• 10 years agoHelpfull: Yes(6) No(0)
• let 1st no. = m
  2nd no. = n
  m-n= 32 --> m=32+n
  m*n = 2145
  putting the value of m we get n = 33 and then m = 65
  hence, m+n = 33+65 = 98. OPTION B is correct
• 10 years agoHelpfull: Yes(5) No(0)
• 1st no is :65 and 2nd no:33
  so sum is : 98
• 10 years agoHelpfull: Yes(3) No(0)
• B.98
  x-y=32
  x=y+32
  substituting this in xy=2145 we get y = 33 and subs this in main eqn we get x=65
  sum of those two nos is 98
• 10 years agoHelpfull: Yes(3) No(1)
• somebody tell me the easiest way to solve the such type of questions
• 9 years agoHelpfull: Yes(3) No(0)
• xy=2145
  x-y=32
  sub and solve eq y2+32y-2145=0
  x=65,y=33
  ans : 98
  
• 10 years agoHelpfull: Yes(2) No(0)
• 98 is the ans.
  
• 10 years agoHelpfull: Yes(1) No(0)
• Option a) b
  The numbers are 65 and 33
  
• 10 years agoHelpfull: Yes(1) No(0)
• ans:78
  (a+b)^2=(a-b)^2+2ab
  a+b=sqrt(32^2+2*2145)
  =78
• 9 years agoHelpfull: Yes(1) No(3)
• 98 option b
  
  
• 9 years agoHelpfull: Yes(1) No(0)
• 1st no is :65 and 2nd no:33
  so sum is : 98
  
• 10 years agoHelpfull: Yes(0) No(0)
• a-b=32;a+b=89 ,here a*b is not 2145
  a-b=32;a+b=98,here a*b =2145.......can check from answer also
• 9 years agoHelpfull: Yes(0) No(0)
• x-y=32 .......... (i)
  
  xy=2145 ............(ii)
  find the value of x from (ii) that is x=2145/y and put this value in (i)
  
  solve the equation and you will be getting y=33
  so x will be x-33= 32 ..............from(i)
  x=33+32
  i.e x=65
  so add both the no to get the answer asked in question
  65+33=98;
  hence 98 is the answr
• 9 years agoHelpfull: Yes(0) No(0)
• take factor of 2145 and try to co- relate the answer... definetly it helps you in future. most simple technique
• 9 years agoHelpfull: Yes(0) No(0)
• 98
  a-b=32
  ab=2145
  a=32+b
  b^2+32b-2145=0 solve b=65/32
  so a+b=98
• 9 years agoHelpfull: Yes(0) No(0)
• using the formula (x+y)^2-(x-y)^2=4xy
  (x+y)^2=4(2145)+(32)^2
  =8580+1024=9604
  x+y=sqrt(9604)=98
• 8 years agoHelpfull: Yes(0) No(0)