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A parent is 2 times as old as their child. Together they are 39. How old is each?

The child is 13 and the parent is 26.

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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 39:

    x+2x=39x + 2x = 39
  3. 3

    Combine the x terms and divide:

    3x=39 ⇒ x=393=133x = 39\ \Rightarrow\ x = \frac{39}{3} = 13
  4. 4

    The parent is 2 × 13 = 26.

  5. 5

    Check: 13 + 26 = 39 ✓ and 26 = 2 × 13 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 39\ \Rightarrow\ x = 13 \]
\[ x + 2x = 39 \]
\[ 3x = 39\ \Rightarrow\ x = \frac{39}{3} = 13 \]

Questions

How old is the child?

13.

How old is the parent?

26.

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    Parent is 2 times the child's age, total 39: 26 and 13 | WordGPT