Question

Part 1Carson is g year old Haley is 2 yrs younger than Carson. find the sum of their ages in terms of gPart 2Find some of their ages in "g" years time, in terms of g

Answer 1

Part 1

Carson is "g" years old.

Haley is 2 years younger than Carson, you can express her age as "g-2"

To sum their ages you have to add both expressions:

$\begin{gathered} \text{AgeCarson}+\text{AgeHaley} \\ g+(g-2) \end{gathered}$

To simplify the expression, you have to erase the parentheses and add the like terms, i.e., add both "g-terms"

$\begin{gathered} g+g-2 \\ 2g-2 \end{gathered}$

The sum of their ages in terms of g is: Age(g)=2g-2

Part 2

You need to find some of their ages, this means that you have to choose any value for "g" and determine the age of Carson and Haley

For example:

For g=10 years:

Carson's age: g= 10 years-old

Haley's age: g-2=10-2= 8 years-old

The sum of their ages is: 2g-2=(2*10)-2= 20-2= 18 years

For g=15 years:

Carson's age: g= 15 years-old

Haley's age: g-2= 15-2= 13 years-old

The sum of their ages is: 2g-2= (2*15)-2= 30-2= 28 years