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A parent is 2 times as old as their child. Together they are 81. How old is each?

The child is 27 and the parent is 54.

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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 81:

    x+2x=81x + 2x = 81
  3. 3

    Combine the x terms and divide:

    3x=81 ⇒ x=813=273x = 81\ \Rightarrow\ x = \frac{81}{3} = 27
  4. 4

    The parent is 2 × 27 = 54.

  5. 5

    Check: 27 + 54 = 81 ✓ and 54 = 2 × 27 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 81\ \Rightarrow\ x = 27 \]
\[ x + 2x = 81 \]
\[ 3x = 81\ \Rightarrow\ x = \frac{81}{3} = 27 \]

Questions

How old is the child?

27.

How old is the parent?

54.

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    Parent is 2 times the child's age, total 81: 54 and 27 | WordGPT