24.2k views
25 votes
A grandma has three grandchildren.Sara, Whitney, and Hannah. Whitney is 3 years younger than Sara. Hannah is half as old as Whitney. Hannah's age pplus Whitney's age equals Sara age. How old is each granddaughter? Let x = Whitney's age in years

User Vjeta
by
2.8k points

1 Answer

8 votes

Answer:

Whitney = 6

Sara = 9

Hannah = 3

Explanation:

Let :

Whitney = x

Sara = x + 3

Hannah = x / 2

Hannah's age + Whitney's age = Sarah's age

x / 2 + x = x + 3

1.5x = x + 3

1.5x - x = 3

0.5x = 3

x = 3/0.5

x = 6

Whitney = 6

Sara = x +3 = 6 + 3 = 9

Hannah = x/2 = 6/2 = 3

User Jayant Varshney
by
3.1k points