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A parent is 4 times as old as their child. Together they are 25. How old is each?

The child is 5 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 4 times as old, so the parent is 4x.

  2. 2

    Together they are 25:

    x+4x=25x + 4x = 25
  3. 3

    Combine the x terms and divide:

    5x=25 ⇒ x=255=55x = 25\ \Rightarrow\ x = \frac{25}{5} = 5
  4. 4

    The parent is 4 × 5 = 20.

  5. 5

    Check: 5 + 20 = 25 ✓ and 20 = 4 × 5 ✓.

LaTeX source of the formulas on this page
\[ x + 4x = 25\ \Rightarrow\ x = 5 \]
\[ x + 4x = 25 \]
\[ 5x = 25\ \Rightarrow\ x = \frac{25}{5} = 5 \]

Questions

How old is the child?

5.

How old is the parent?

20.

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    Parent is 4 times the child's age, total 25: 20 and 5 | WordGPT