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A parent is 5 times as old as their child. Together they are 24. How old is each?

The child is 4 and the parent is 20.

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How to work it out

  1. 1

    Let x be the child's age. The parent is 5 times as old, so the parent is 5x.

  2. 2

    Together they are 24:

    x+5x=24x + 5x = 24
  3. 3

    Combine the x terms and divide:

    6x=24 ⇒ x=246=46x = 24\ \Rightarrow\ x = \frac{24}{6} = 4
  4. 4

    The parent is 5 × 4 = 20.

  5. 5

    Check: 4 + 20 = 24 ✓ and 20 = 5 × 4 ✓.

LaTeX source of the formulas on this page
\[ x + 5x = 24\ \Rightarrow\ x = 4 \]
\[ x + 5x = 24 \]
\[ 6x = 24\ \Rightarrow\ x = \frac{24}{6} = 4 \]

Questions

How old is the child?

4.

How old is the parent?

20.

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    Parent is 5 times the child's age, total 24: 20 and 4 | WordGPT