Question

The Miller family made mathematical statement out of their ages as follows. Tom is 4 less than twice Gary’s age. Rebecca is the youngest and she is two less than half Gary’s age after it was increased by three. Sam’s age is the ratio of seven more than Gary’s age to eight less than Gary’s age. Translate each of the Miller family members age into algebraic expressions in terms of Gary’s age, g

Answer 1

let t = Tom's age

let g = Gary's age

let r = Reb's age

let s = Sam's age

:

tom is four less than twice gary's age.

t = 2g - 4

:

Gary's age

2g - 4 = t

2g = t + 4

g = t+4 over 2

:

rebecca is the youngest and she is two less than half gary's age after it was increased by three.

r = .5(g+3) -2

:

sam's age is the ratio of seven more than gary's age to eight less than gary's age.

s= (g+7) over (g-8)