Question

Sum of two numbers is 65 and products 1014, what will be th lcm

Answer 1

Sum of two numbers = 65
Let a + b  = 65    ---------------------------- (1)

product of two numbers = 1014
 a x b = 1014

(a-b)^2 = (a+b)^2 - 4 ab
           =    65 x 65 - 4 x 1014
            =  4225   - 4056
            =   169
 (a-b)^2  = 13 x 13
  a -  b   =  13   --------------------------------- (2)
  a + b   =   65  ---------------------------------  (1)
(1) + (2)

2 a  =  78
a= 39

39 + b = 65
 b = 65-39
 b = 26
so two numbers are 39 and 26

the lcm of 39 and 26
 39 = 3 x 13
 26 = 2 x 13
lcm = 2x3x13
 so lcm of 39 and 26 = 78

Answer 2

Answer:

Sum of two numbers is 65 and its product is 1014 then what will be the LCM(Least Common Multiple) of the numbers?