SOLUTION: Ben is one more than two times as old as Denise. In 19 years the sum of their ages will be 126. How old is Ben now?

Question 213177: Ben is one more than two times as old as Denise. In 19 years the sum of their ages will be 126. How old is Ben now?
Found 2 solutions by drj, MathTherapy:
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Ben is one more than two times as old as Denise. In 19 years the sum of their ages will be 126. How old is Ben now?

Let n = Denise age

Let 2n = Ben's age

Then (n+19)+(2n+19)=126 since in 19 years the sum of their ages will be 126.

The following will now solve the above equation

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

YOUR ANSWER

This is an equation! Solutions: n=29.3333333333333.

Graphical form: Equation was fully solved.
Text form: (n+19)+(2n+19)=126 simplifies to 0=0
Cartoon (animation) form:
For tutors: simplify_cartoon( (n+19)+(2n+19)=126 )

If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around terms ,
It becomes .

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Remove unneeded parentheses around terms ,
It becomes .

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Added fractions or integers together
It becomes .

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Moved to the right of expression
It becomes .

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Eliminated similar terms , replacing them with
It becomes .

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Added fractions or integers together
It becomes .

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Remove unneeded parentheses around factor
It becomes .

Look at .
Moved these terms to the left
It becomes .

Look at .
Added fractions or integers together
It becomes .

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Removed extra sign in front of
It becomes .

Look at .
Solved linear equation equivalent to 3*n-88 =0
It becomes .
Result:
This is an equation! Solutions: n=29.3333333333333.

Universal Simplifier and Solver

Done!

So Denise is 29.333 years old which means Ben is 58.667 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
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Ben is one more than two times as old as Denise. In 19 years the sum of their ages will be 126. How old is Ben now?

Let Denise's current age be D

Since Ben's age is one more than 2 times Denise's age, then Ben's current age is 2D + 1

In 19 years, Denise will be D + 19, and Ben will be (2D + 1 + 19), or 2D + 20

Since in 19 years, their ages will total 126, then we'll have:

D + 19 + 2D + 20 = 126

3D + 39 = 126

3D = 87

which means that D, or Denise's current age is 29

Therefore, Ben is currently (2*29 + 1) years-old.
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