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A parent is 2 times as old as their child. Together they are 27. How old is each?

The child is 9 and the parent is 18.

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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 27:

    x+2x=27x + 2x = 27
  3. 3

    Combine the x terms and divide:

    3x=27 ⇒ x=273=93x = 27\ \Rightarrow\ x = \frac{27}{3} = 9
  4. 4

    The parent is 2 × 9 = 18.

  5. 5

    Check: 9 + 18 = 27 ✓ and 18 = 2 × 9 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 27\ \Rightarrow\ x = 9 \]
\[ x + 2x = 27 \]
\[ 3x = 27\ \Rightarrow\ x = \frac{27}{3} = 9 \]

Questions

How old is the child?

9.

How old is the parent?

18.

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    Parent is 2 times the child's age, total 27: 18 and 9 | WordGPT