Question

Which expression shows 27 + 36 as the product of their greatest common factor and the sum of two whole numbers with no common factor? ​A. 9(3+4)9(3+4) ​ ​ B.9(4+5)9(4+5) ​ ​ C.7(4+5)7(4+5) ​ ​ D.
7(3+6)7(3+6) ​

Answer 1

I believed there is a typo error in the choices. Below I assume that the correct choices:

A. 9 (3+4)
B. 9 (4+5)
C. 7(4+5)
D. 7(3+6)

The answer is letter A which is 9 (3+4) the greatest common denominator of 27 and 36 is 9. The factor of 27 is 9 and 3 while for 36 is 9 and 4. To check the answer you need to solve 9 (3+4) which is 63 while 27 + 36 is also 63.