Answer:
the correct choice is marked
Step-by-step explanation:
Let x represent the smaller number. Then the larger number is 8x, and the difference is ...
8x -x = 280
7x = 280 . . . . . simplify
x = 40 . . . . . . divide by 7
The larger number is 8x = 8(40) = 320.
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Additional comment
Effectively, we have solved for the multiplier (40) that gives the ratio with 320 on top and a difference between top and bottom of 280:
[tex]\dfrac{8}{1}=\dfrac{8\cdot40}{1\cdot40}=\dfrac{320}{40}[/tex]
