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A parent is 5 times as old as their child. Together they are 30. How old is each?

The child is 5 and the parent is 25.

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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 30:

    x+5x=30x + 5x = 30
  3. 3

    Combine the x terms and divide:

    6x=30 ⇒ x=306=56x = 30\ \Rightarrow\ x = \frac{30}{6} = 5
  4. 4

    The parent is 5 × 5 = 25.

  5. 5

    Check: 5 + 25 = 30 ✓ and 25 = 5 × 5 ✓.

LaTeX source of the formulas on this page
\[ x + 5x = 30\ \Rightarrow\ x = 5 \]
\[ x + 5x = 30 \]
\[ 6x = 30\ \Rightarrow\ x = \frac{30}{6} = 5 \]

Questions

How old is the child?

5.

How old is the parent?

25.

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    Parent is 5 times the child's age, total 30: 25 and 5 | WordGPT