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A parent is 2 times as old as their child. Together they are 72. How old is each?

The child is 24 and the parent is 48.

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How to work it out

  1. 1

    Let x be the child's age. The parent is 2 times as old, so the parent is 2x.

  2. 2

    Together they are 72:

    x+2x=72x + 2x = 72
  3. 3

    Combine the x terms and divide:

    3x=72 ⇒ x=723=243x = 72\ \Rightarrow\ x = \frac{72}{3} = 24
  4. 4

    The parent is 2 × 24 = 48.

  5. 5

    Check: 24 + 48 = 72 ✓ and 48 = 2 × 24 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 72\ \Rightarrow\ x = 24 \]
\[ x + 2x = 72 \]
\[ 3x = 72\ \Rightarrow\ x = \frac{72}{3} = 24 \]

Questions

How old is the child?

24.

How old is the parent?

48.

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    Parent is 2 times the child's age, total 72: 48 and 24 | WordGPT