Question

1. Natalia is x years old. Sarah is 3 times as old as her. Natalia is 5 years older than Alme a. Find Alma's age in terms of x. b Find Sarah's age in terms of x. c If x= 12. how much older is Sarah than Natalia?

Answer 1

Part a. Find Alma's age in terms of x.

Since Natalia is x years old and it is also 5 years older than Alma, this means that Alma is 5 years younger than Natalia. We represent this as the age of Natalia "x" minus 5:

`Alma=x-5`

Part b. Find Sarah's age in terms of x.

Sarah is 3 times as old as Natalia, we represent this as follows:

`\text{Sarah}=3x`

The age of Sarah is the result of multiplying 3 times x.

Part c. If x=12 how much older is Sarah than Natalia?

In part b we defined the age of Sarah in terms of x:

`\text{Sarah}=3x`

Substituting x=12:

`\begin{gathered} \text{Sarah}=3(12) \\ \text{Sarah}=36 \end{gathered}`

Sarah is 36 years old. To find the difference, we subtract their ages:

`36-12=24`

Sarah is 24 years older than Natalia.

Answer:

Part a. x-5

Part b. 3x

Part c. 24 years