Question

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

Answer 1

Answer:

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)

Answer 2

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

A similar question was solved here: https://brainly.com/question/19907837?referrer=searchResults