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A parent is 4 times as old as their child. Together they are 60. How old is each?

The child is 12 and the parent is 48.

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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 60:

    x+4x=60x + 4x = 60
  3. 3

    Combine the x terms and divide:

    5x=60 ⇒ x=605=125x = 60\ \Rightarrow\ x = \frac{60}{5} = 12
  4. 4

    The parent is 4 × 12 = 48.

  5. 5

    Check: 12 + 48 = 60 ✓ and 48 = 4 × 12 ✓.

LaTeX source of the formulas on this page
\[ x + 4x = 60\ \Rightarrow\ x = 12 \]
\[ x + 4x = 60 \]
\[ 5x = 60\ \Rightarrow\ x = \frac{60}{5} = 12 \]

Questions

How old is the child?

12.

How old is the parent?

48.

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    Parent is 4 times the child's age, total 60: 48 and 12 | WordGPT