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A parent is 2 times as old as their child. Together they are 42. How old is each?

The child is 14 and the parent is 28.

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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 42:

    x+2x=42x + 2x = 42
  3. 3

    Combine the x terms and divide:

    3x=42 ⇒ x=423=143x = 42\ \Rightarrow\ x = \frac{42}{3} = 14
  4. 4

    The parent is 2 × 14 = 28.

  5. 5

    Check: 14 + 28 = 42 ✓ and 28 = 2 × 14 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 42\ \Rightarrow\ x = 14 \]
\[ x + 2x = 42 \]
\[ 3x = 42\ \Rightarrow\ x = \frac{42}{3} = 14 \]

Questions

How old is the child?

14.

How old is the parent?

28.

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    Parent is 2 times the child's age, total 42: 28 and 14 | WordGPT