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A parent is 2 times as old as their child. Together they are 66. How old is each?

The child is 22 and the parent is 44.

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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 66:

    x+2x=66x + 2x = 66
  3. 3

    Combine the x terms and divide:

    3x=66 ⇒ x=663=223x = 66\ \Rightarrow\ x = \frac{66}{3} = 22
  4. 4

    The parent is 2 × 22 = 44.

  5. 5

    Check: 22 + 44 = 66 ✓ and 44 = 2 × 22 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 66\ \Rightarrow\ x = 22 \]
\[ x + 2x = 66 \]
\[ 3x = 66\ \Rightarrow\ x = \frac{66}{3} = 22 \]

Questions

How old is the child?

22.

How old is the parent?

44.

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    Parent is 2 times the child's age, total 66: 44 and 22 | WordGPT