The sum of two numbers is 67 . The difference of the two numbers is 13. What are the two numbers. Let \( x \) be the larger number and \( y \) be the smaller number. Write an equation that expresses the information in the sentence "The sum of two numbers is 67. ." Write an equation that expresses the information in the sentence "The difference of the two numbers is 13.- Solve the system you have written above. The larger number, \( x \) is

(2) \( \left\{\begin{aligned} 6 x+5 y & =23 \\ -4 y+y & =-11\end{aligned}\right. \)

(2) \( \left\{\begin{array}{l}6 x+5 y=23 \\ -4 y+y=-11\end{array}\right. \)

\( f(x)=x-3 \) and \( g(x)=|x+2| \) Find \( g(f(x)) \)

14. El resultado de \( \left(5 \cdot 10^{11}\right) \cdot\left(10^{-10}+2^{-10} \cdot 5^{-9}\right) \), es: (A) 50 (B) 52 (C) 200 (D) 250 (E) 300

Francisco and his mother bought some fruit yesterday. They bought \( 2 \frac{1}{2} \) pounds of peaches, \( \frac{7}{10} \) of a pound of raspberries, and \( 1 \frac{1}{4} \) pounds of apricots. How many pounds of fruit did they buy in all? Show all your work.