Currently, nora is 3 times as old as damon. in 8 years, she will only be 2 times as old as damon. how old will damon be in 8 years? a. 8 years old b. 16 years old c. 24 years old d. 32 years old

16 years old

Step-by-step explanation:

D=Damon     N=Nora     N=3D

3D-8=2D

D=8

Currently Damon is 8

I 8 years will be 16

Nora now is 24(8*3)

In 8 years will be 32 (3*8)

Damon will be 16 years old in 8 years time

The following equations can be derived from the question

N = 3D equation 1

N  = 2D + 8 equation 2

Where:

N = Nora's age

D = Damon's age

Because N is the subject of the formula in equation 1 and 2, they can be equated

2D + 8 = 3D

Combine similar terms

3D - 2D = 8

D = 8

In 8 years, Damon would be : 8 + 8 = 16 years old

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