math
posted by marissa on .
The greatest common factor of 2 numbers is
14, the least common multiple is 168. If the 2 numbers are not 14 and 168, what is the sum?

1st number : 14a = 2(7)(a)
2nd number : 14b = 2(7)(b)
168 = 2(2)(2)(3)(7)
14ab = 8(3)(7)
ab = 12
could be:
a b
1 12
2 6
3 4
If a=1, b=12 , the 2 numbers are 14 and 168 , but we are told that's not it
if a = 2, b = 6, the 2 numbers are 28 84
check:
LCF of 28 and 84 would be 28
if a = 3, b = 4
the two numbers are 42 and 56
LCF = 14
42 = 2x3x7
56 = 2x2x2x7
LCM = 2x2x2x3x7 = 168 , YEAHH
so the sum of the two numbers is 42+56 = 98 
thank you a bunch reiny