Math & StatisticsFormula-based · Runs in your browser

Algebra Word Problems: Age Calculator

Solve two present ages from their sum and age difference, then project them to another year.

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Inputs

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Result

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Calculated locally
Older person now
Younger person now
Older person at projected time
Younger person at projected time

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Calculation steps

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  1. 1

    Formula selected

    The calculator uses the following formula or method.

    older = (sum + difference) ÷ 2; younger = (sum − difference) ÷ 2

  2. 2

    Values entered

    Your values are placed into the calculation.

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  3. 3

    Result calculated

    The formula or method produces the following result values.

    Results will appear after a successful calculation.

  4. 4

    Answer formatted

    Displayed values are rounded and formatted using each output’s configured precision.

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What this calculator does

Solve two present ages from their sum and age difference, then project them to another year.

How it works

The calculator evaluates older = (sum + difference) ÷ 2; younger = (sum − difference) ÷ 2. Inputs are checked before calculation, and invalid values such as zero denominators or out-of-range selections produce a clear error instead of a misleading result.

Input query strings and outputs

Use an input name in this page’s URL as ?name=value, and join additional inputs with &. Portable shared links may instead use the compact ?ac= state parameter.

Input query strings

3
  • ?sumAges= Sum of present ages

    Number · Required · Default: 50

  • ?ageDifference= Older minus younger

    Number · Required · Default: 10

  • ?yearsFromNow= Years from now (negative for years ago)

    Number · Required · Default: 5

Outputs

4
  • olderAge Older person now

    Number · Primary output

  • youngerAge Younger person now

    Number

  • olderProjected Older person at projected time

    Number

  • youngerProjected Younger person at projected time

    Number

Inputs and results

The inputs are Sum of present ages, Older minus younger, Years from now (negative for years ago). Results include Older person now, Younger person now, Older person at projected time, Younger person at projected time.

Sources
  • No external reference is listed for this calculator. Its formula and variable definitions are shown above.
Limitations
  • Results depend on the selected method and input assumptions. Displayed decimals may be rounded; retain appropriate precision for later calculations.