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.

In the equation the variable can not be the answer

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

a. d x 1/4 = f
b. (d-f) x 1/2 = n
c. 16 x 1/4 = 4 Frank's Age
(16 - 4) x 1/2 = 6 Neil's Age

Frank is 4
Neil is 6