let the two numbers be x and y. we want:

x + y = 102 and x/y = 16, so we get the simultaneous equations:

x + y = 102 ..................(1)

x/y = 16 ......................(2)

we will proceed by the substitution method:

from (2) we see x = 16y. substitute 16y for x in (1), we get:

16y + y = 102

=> 17y = 102

=> y = 102/17

=>y = 6but x = 16y

=> x = 16(6)

=>x = 96so the two numbers are 96 and 6