SOLUTION: Don is twice as old as Irene; Ed is 16 years older than Irene. The sum of all three of their ages is 60 years. Find the age of each person.

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Question 230632: Don is twice as old as Irene; Ed is 16 years older than Irene. The sum of all three of their ages is 60 years. Find the age of each person.
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Don is twice as old as Irene; Ed is 16 years older than Irene. The sum of all three of their ages is 60 years. Find the age of each person.

Step 1. Let x be the age of Irene.

Step 2. Let 2x be the age of Don since he'1 twice as old as Irene.

Step 3. Let x+16 be the age of Ed since he's 16 years older than Irene.

Step 4. Then, x+2x+x+16=60 since the sum of their ages is 60.

Step 5. Solving yields the following steps

4x%2B16=60

Subtract 16 from both sides of the equation

4x%2B16-16=60-16

4x=44

Divide by 4 to both sides of the equation

4x%2F4=44%2F4

x=11, 2x=22, x%2B16=27. Note the sum of the ages equal to 60 years old.

Step 6. ANSWER: Irene is 11 years old, Don is 22 years old, and Ed is 27 years old.

I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV