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A parent is 4 times as old as their child. Together they are 20. How old is each?

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

  2. 2

    Together they are 20:

    x+4x=20x + 4x = 20
  3. 3

    Combine the x terms and divide:

    5x=20 ⇒ x=205=45x = 20\ \Rightarrow\ x = \frac{20}{5} = 4
  4. 4

    The parent is 4 × 4 = 16.

  5. 5

    Check: 4 + 16 = 20 ✓ and 16 = 4 × 4 ✓.

LaTeX source of the formulas on this page
\[ x + 4x = 20\ \Rightarrow\ x = 4 \]
\[ x + 4x = 20 \]
\[ 5x = 20\ \Rightarrow\ x = \frac{20}{5} = 4 \]

Questions

How old is the child?

4.

How old is the parent?

16.

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    Parent is 4 times the child's age, total 20: 16 and 4 | WordGPT