If the square root of the product of three positive integers is equal to the largest of the three integers, what is the product of two smaller numbers ?
(1) the largest number of the three distinct numbers is 36
(2) the average(arithmetic mean) of three numbers is 17

• let 3 number be a,b,c
  let largest number=c
  according to question (a*b*c)^(1/2)=c
  a*b*c=c^2
  a*b=c
  since largest number c=36 (given)
  then
  a*b=36
  also
  in 2 nd part (a+b+c)/3=17
  a+b+c=51
  since c=36
  a+b=15
  and from above a*b =36 which is required ans
  which satisfied by 2nd conditation
  two smallest no. is 3,12,
  hence product of two smallest number is 36
• 10 years agoHelpfull: Yes(11) No(2)
• Number are X,Y,Z
  sq-rt X*Y*Z = X
  Largest no is 36 so
  sq-rt 36*Y*Z = 36
  Y*Z should be 36
  also we have (X+Y+Z)/3 = 17
  X+Y+Z = 51
  36+Y+Z = 51
  Y+Z = 15
  so Y+Z= 15 & Y*Z = 36
  Y=12, Z= 3
  ANS. 15
• 10 years agoHelpfull: Yes(0) No(4)