Sara is two years older than her brother. The sum of their ages is 29.
a. Write an equation
b. How old is Sara?
c. How old is Sara's brother?
I get the problem. It's the answer i don't get.
So I did x+(x+2)=29
2x+2=29
2x=27
x=13.5
So Sara would be 15.5 years old.
So is it okay that there is a decimal or should I change it to a fraction.
x=13.5
a. To write an equation, let's assign variables to represent Sara's age and her brother's age. Let's say x represents the brother's age. Since Sara is two years older than her brother, we can represent Sara's age as x + 2.
The sum of their ages is given as 29, so we can write the equation as follows:
x + (x + 2) = 29
b. To find Sara's age, we need to solve the equation. Let's simplify it:
2x + 2 = 29
Next, we'll isolate the variable term:
2x = 29 - 2
2x = 27
Finally, we divide both sides of the equation by 2:
x = 27 / 2
x = 13.5
Therefore, Sara's brother is 13.5 years old.
c. Now that we have Sara's brother's age, we can find Sara's age by substituting x back into the equation:
Sara's age = x + 2
Sara's age = 13.5 + 2
Sara's age = 15.5
Thus, Sara is 15.5 years old.
You really should be able to do this ....
brother's age ---- x
Sara is two years older , so her age is x+2
"sum of their ages is 29"
sum --- +
their ages ---- I defined them for you
is ---- =
Now form the equation, and solve it.
Let me know how it worked out for you