SOLUTION: My brother is one year older than twice my age. The product of our ages is 55. How old am I and how old is my brother?

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Question 826140: My brother is one year older than twice my age. The product of our ages is 55. How old am I and how old is my brother?
Found 3 solutions by Alan3354, MathLover1, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
My brother is one year older than twice my age. The product of our ages is 55. How old am I and how old is my brother?
-------------
55 has only 2 pairs of factors.
You're either 1 & 55 or 5 & 11.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
let brother's age be and your age
if brother is your age, then we have
...........eq.1

if the product of your ages is , then we have
...............eq.2
now solve the system
...........eq.1
...............eq.2
-------------------------------
...............eq.2...substitute from eq.1
...............solve for

..........use quadratic formula




..............we will need only positive solution because age cannot be negative number


....................your age
brother's age will be which is or
so, your brother is years old





Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

My brother is one year older than twice my age. The product of our ages is 55. How old am I and how old is my brother?


My age:        

Brother's age: 

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