# Alix is 10 years older than tamia. Alanna is twice as old as tamia. If the sum of their ages is 74, how old is alanna

Question

Alix is 10 years older than tamia. Alanna is twice as old as tamia. If the sum of their ages is 74, how old is alanna

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1 year 2021-09-02T02:09:13+00:00 2 Answers 0 views 0

Alanna is 32 years old

Step-by-step explanation:

Hi there!

We’re given that Alix is 10 years older than Tamia and Alanna is twice as old as Tamia.

Since Alix and Alanna’s ages are in relation to Tamia’s, let’s make Tamia’s age x

Alix is 10 years older than Tamia, so Alix must be x+10 years old

Alanna is twice as old as Tamia, so she must be 2x years old

We’re also given that Alix+Alanna+Tamia=74

When we substitute it with the expressions we have, it becomes:

x+x+10+2x=74

now combine like terms

4x+10=74

subtract 10 from both sides

4x=64

divide both sides by 4

x=16

We found the value of x (Tamia’s age)

However, the problem asks for Alanna’s age, which we have set as 2x

So Alanna is 2*16, or 32 years old

Hope this helps! 🙂