Question

Which equation shows how to rewrite the sum of 42 and 54 using their greatest common factor? A 54+42=3(18+14) B 54+42=4(8)(3) C 54+42=6(9)+3(14) D 54+42=6(9+7)

Answer 1

the answer is 54+ 42 = 6(9+7)

Explanation:

Answer 2

The required "option D) 54 + 42 = 6(9 + 7)" is correct.

Explanation:

We have,

The sum of 42 and 54

= 42 + 54

∴ 42 and 54

42 = 2 × 3 × 7 and

54 = 2 × 3 × 3 × 3

The greatest common factor of 42 and 54

= 2 × 3

= 6

∴ 42 + 54

= 6(7 + 9)

= 6(9 + 7)

Thus, the required "option D) 54 + 42 = 6(9 + 7)" is correct.