SOLUTION: Landon is three times as old as his little brother. If he is 10 years older than his brother, what are their ages. You must show use of algebraic techniques.

Question 1154755: Landon is three times as old as his little brother. If he is 10 years older than his brother, what are their ages. You must show use of algebraic techniques.
Found 3 solutions by ikleyn, josgarithmetic, greenestamps:
Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.

5 and 15 years.

Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
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Landon is three times as old as his little brother. If he is 10 years older than his brother, what are their ages. You must show use of algebraic techniques.
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b, the age of the brother
3b, Landon's age

---------the second sentence gives this equation.
You should have no further trouble from here.
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

If Landon is three times as old as his little brother, then the difference between their ages is twice the age of his little brother.

(Algebraically, the difference between 3x and x is 2x.)

We are told that difference in their ages is 10 years.

So 10 years is twice his little brother's age; so his little brother is 5.

And that makes Landon 15.

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