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A parent is 2 times as old as their child. Together they are 69. How old is each?

The child is 23 and the parent is 46.

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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 69:

    x+2x=69x + 2x = 69
  3. 3

    Combine the x terms and divide:

    3x=69 ⇒ x=693=233x = 69\ \Rightarrow\ x = \frac{69}{3} = 23
  4. 4

    The parent is 2 × 23 = 46.

  5. 5

    Check: 23 + 46 = 69 ✓ and 46 = 2 × 23 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 69\ \Rightarrow\ x = 23 \]
\[ x + 2x = 69 \]
\[ 3x = 69\ \Rightarrow\ x = \frac{69}{3} = 23 \]

Questions

How old is the child?

23.

How old is the parent?

46.

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    Parent is 2 times the child's age, total 69: 46 and 23 | WordGPT