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A parent is 3 times as old as their child. Together they are 24. How old is each?

The child is 6 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 3 times as old, so the parent is 3x.

  2. 2

    Together they are 24:

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

    Combine the x terms and divide:

    4x=24 ⇒ x=244=64x = 24\ \Rightarrow\ x = \frac{24}{4} = 6
  4. 4

    The parent is 3 × 6 = 18.

  5. 5

    Check: 6 + 18 = 24 ✓ and 18 = 3 × 6 ✓.

LaTeX source of the formulas on this page
\[ x + 3x = 24\ \Rightarrow\ x = 6 \]
\[ x + 3x = 24 \]
\[ 4x = 24\ \Rightarrow\ x = \frac{24}{4} = 6 \]

Questions

How old is the child?

6.

How old is the parent?

18.

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    Parent is 3 times the child's age, total 24: 18 and 6 | WordGPT