Answer:
Given: Gina is six years older than twice her cousin Noah's age
Let the age of Noah be x years.
then,
Gina age be [tex]2x+6[/tex] years
Also, the sum of their ages is less than 36.
[tex]x+(2x+6)<36[/tex] or
x+2x+6<36 or [Combine like terms]
3x +6 <36
Subtract 6 from both sides of an equation:
3x+6-6<36-6 or
3x< 30
Divide both side by 3 we have;
x < 10
Therefore, the greatest age that Noah could be , 9 years old