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A parent is 2 times as old as their child. Together they are 48. How old is each?

The child is 16 and the parent is 32.

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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 48:

    x+2x=48x + 2x = 48
  3. 3

    Combine the x terms and divide:

    3x=48 ⇒ x=483=163x = 48\ \Rightarrow\ x = \frac{48}{3} = 16
  4. 4

    The parent is 2 × 16 = 32.

  5. 5

    Check: 16 + 32 = 48 ✓ and 32 = 2 × 16 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 48\ \Rightarrow\ x = 16 \]
\[ x + 2x = 48 \]
\[ 3x = 48\ \Rightarrow\ x = \frac{48}{3} = 16 \]

Questions

How old is the child?

16.

How old is the parent?

32.

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    Parent is 2 times the child's age, total 48: 32 and 16 | WordGPT