A.12(2+7)
Step-by-step explanation:
Given that, Sum = 24 + 84
That is, Sum = 108
Greatest common factor of 24 and 84 is needed to solve the problem
Factors of 24 are 2,12,3,8,4,6,1,24
Factors of 84 are 2,42,3,28,4,21,6,14,7,12,1,84
Common factors 24 and 84 are 1,2,3,4,6,12
Hence, greatest common factor of 24 and 84 is 12
24/12 = 2
84/12 = 7
Using the distributive property and Greatest common factor, the sum can be written as,
Sum = (12×2)+(12×7)
=12(2+7)
=12×9=108
