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A parent is 5 times as old as their child. Together they are 66. How old is each?

The child is 11 and the parent is 55.

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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 66:

    x+5x=66x + 5x = 66
  3. 3

    Combine the x terms and divide:

    6x=66 ⇒ x=666=116x = 66\ \Rightarrow\ x = \frac{66}{6} = 11
  4. 4

    The parent is 5 × 11 = 55.

  5. 5

    Check: 11 + 55 = 66 ✓ and 55 = 5 × 11 ✓.

LaTeX source of the formulas on this page
\[ x + 5x = 66\ \Rightarrow\ x = 11 \]
\[ x + 5x = 66 \]
\[ 6x = 66\ \Rightarrow\ x = \frac{66}{6} = 11 \]

Questions

How old is the child?

11.

How old is the parent?

55.

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    Parent is 5 times the child's age, total 66: 55 and 11 | WordGPT