Question

The sum of the hcf of two numbers is 1884 and theirs difference is 1860.if the difference between the numbers is 12'then determine the sum of the numbers

Answer 1

please say you saw this question were in ncert text book or in guides

Answer 2

let greater no be x and smaller be y,                 [ let, x>y]

given, difference between numbers = 12
                           x - y                     = 12 
                             x                        =  y+12         --- (i)

now, 
x + y = 1884                     ---- (ii)

x - y  =  1860                    -----(iii)

Subtracting eqn.  (ii) from (i),
x + y = 1884
-x + y=-1860
____________
   2y  = 24

   y = 24/2
   y= 12         

substituting value of y in eqn (i).
     x    =       y  +  12
     x    =       12 + 12                     [ y = 12 , proved above]
     x    =       24

so,
1st no. (x)= 24
 2nd no.(y)= 12

sum of no.s,

x + y   =>  24 + 12
           =>  36               ...........ans!!
 
!!! HOPE IT HELPSS!!!