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:

B. 16 years

Step-by-step explanation:

Now, let the age of Damon be x

Because Nora is 3 times as old as Damon, her age in terms of x is 3x

In eight years time, Damon's age will be

$x + 8$

Because Nora will be 2 times as old as Damon, her age will then be

$2(x + 8)$

We write mathematical equation for the whole problem

$x + 2(x + 8) = 3x + x + 8$

$x + 2x + 16 = 4x + 8$

$16 - 8 = 4x - 2x - x$

$x = 8$

Recall that x denotes the age of Damon now.

Also Damon's age in 8 years time

$= x + 8$

$\implies 8 + 8 = 16 yrs$

Answer 2

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)