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How old is Karley?

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Karley is twice as old as Lana. Three years from now, the sum of their ages will be 42. How old is Karley?

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Solution Summary

In a step-by-step process, this solution assists in solving algebraic problem using one or two variables: How old is Karley?

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PROBLEM:

Karley is twice as old as Lana. Three years from now, the sum of their ages will be 42. How old is Karley?

SOLUTION:

We can solve this problem using either one or two variables:

1. One-variable solution:

We'll let Lana's age be x. We can set up a chart:

now:
Karley 2x
Lana x

in 3 years:
Karley 2x + 3
Lana x + 3

The sum of their ages in 3 years will be 42, so we have:

(2x + 3) + (x + 3) = 42
3x + 6 = 42
3x = 36
x = 12
If Lana is 12, Karley is 24; in three years they will be 15 and 27, and the sum of their ages will be 42.

2. Two-variable solution:
If we want to use two variables to express the given information, we will need two equations to solve for these ...

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