SOLUTION: John is twice as old as his son. In 42 years, the ratio of their age will be 4:3. what is the son's current age?

Question 223970: John is twice as old as his son. In 42 years, the ratio of their age will be 4:3. what is the son's current age?
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
John is twice as old as his son. In 42 years, the ratio of their age will be 4:3. What is the son's current age?

Step 1. Let x be the age of John's son.

Step 2. Let 2x be the age of John.

Step 3. Let x+42 be the age of John's son in 42 years.

Step 4. Let 2x+42 be the age of John in 42 years.

Step 5. Then

Multiply 3(x+42) to both sides of the equation to get rid of denominators

Subtract 4x+3*42 from both sides of the equation

The age of John

Divide by 2 to both sides of the equation

Step 6. ANSWER: The current age of John's son is 21 years old.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

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