SOLUTION: There are two whole numbers that have greatest common factor of 16. The sum of these two numbers is 384. what are these two numbers

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Question 909087: There are two whole numbers that have greatest common factor of 16. The sum of these two numbers is 384. what are these two numbers
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if they have greatest common factor of 16,both are divisible by 16
so, let's numbers be 16x and 16y
if first one is 16x, then next one must be 2%2A16x=32x which is equal to16y

if the sum of these two numbers is 384, we have 16x%2B16y=16x%2B32x=384
16x%2B32x=384 ...solve for x
48x=384
x=384%2F48
x=8
so, your numbers are 16x=16%2A8=128 and 16y=32x=32%2A8=256
check their sum: 128%2B256=384