Question

1. Bob’s age is twice that of his sister. When you add Bob's age to his sister's age, you get 24. How old is Bob and his sister? (a) Write an equation that represents the situation. Explain any variable used. (b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence

Answer 1

8 and 16

Explanation:

16 + 8 = 24

Answer 2

a: equation is x +2x = 24 here x is the variable used for age of Bob's sister thrn Bob's age is represented by 2x.

b: x + 2x= 24

3x= 24

x = 24/3

x= 8

So Bob's sister is 8 years old and Bob is 2x = 2× 8 = 16 years old.