Question

Dana, Neil and Frank are siblings. Dana is the oldest.

a. Frank's age is one-fourth of Dana's age. Write an equation to represent Frank's age (f) if Dana's age is d years.

b. Neil's age is one-half of the difference between Dana's and Frank's ages. Write an equation to represent Neil's age (n) in terms of Dana's age (d).

c. Use the equations to find Neil's and Frank's ages if Dana is 16 year's old.

Answer 1

Dana is 16 years old

Neil is 6 years old

Frank is 4 years old

Explanation:

Given: Dana, Neil, Frank

a)

Frank's age is one-fourth of Dana's age.

Dana's age = d

Frank's age = f

f = 1/4 * d f = d/4

b)

Neil's age is one-half of the difference between Dana's age and Frank's age.

Neil's age = n

n = 1/2 * (d - d/4)

n = d/2 - d/8

c)

dana is 16 year's old.

f = d/4 = 16/4 = 4

n = d/2 - d/8 = 16/2 - 16/8 = 8 - 2 = 6

Answer 2

Given:
Dana
Neil
Frank

a) Frank's age is one-fourth of Dana's age.
Dana's age = d
Frank's age = f
f = 1/4 * d
f = d/4

b) Neil's age is one-half of the difference between Dana's age and Frank's age.
Neil's age = n
n = 1/2 * (d - d/4)
n = d/2 - d/8

c) dana is 16 year's old.
f = d/4 = 16/4 = 4
n = d/2 - d/8 = 16/2 - 16/8 = 8 - 2 = 6

Dana is 16 years old
Neil is 6 years old
Frank is 4 years old