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A parent is 2 times as old as their child. Together they are 24. How old is each?

The child is 8 and the parent is 16.

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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 24:

    x+2x=24x + 2x = 24
  3. 3

    Combine the x terms and divide:

    3x=24 ⇒ x=243=83x = 24\ \Rightarrow\ x = \frac{24}{3} = 8
  4. 4

    The parent is 2 × 8 = 16.

  5. 5

    Check: 8 + 16 = 24 ✓ and 16 = 2 × 8 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 24\ \Rightarrow\ x = 8 \]
\[ x + 2x = 24 \]
\[ 3x = 24\ \Rightarrow\ x = \frac{24}{3} = 8 \]

Questions

How old is the child?

8.

How old is the parent?

16.

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    Parent is 2 times the child's age, total 24: 16 and 8 | WordGPT