Question 1148599
Write an equation for each statement, simplify
:
Gary is X years old today.
Let x = Gary's present age
Let g = grandfathers age
 Two years ago, his grandfather was three times older than Gary at that time.
g - 2 = 3(x - 2)
g - 2 = 3x - 6
g = 3x - 6 + 2
g = 3x - 4 
A The age difference of Gary and his grandfather then was 48 years
 write a linear equation to represent this age difference.
g - x = 48 
x = g - 48
B find Gary's grandfather's age today
replace x with (g-48) in the first simplified equation
g = 3(g-48) - 4
g = 3g - 144 - 4
g - 3g = -148
g = -148/-2
g = +74 yrs is grandfather's age
:
:
Check this out. Gary's age 74 - 48 = 26
"Two years ago, his grandfather was three times older than Gary at that time."
74 - 2 = 3(26 - 2)
72 = 3(24)