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A parent is 5 times as old as their child. Together they are 48. How old is each?

The child is 8 and the parent is 40.

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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 48:

    x+5x=48x + 5x = 48
  3. 3

    Combine the x terms and divide:

    6x=48 ⇒ x=486=86x = 48\ \Rightarrow\ x = \frac{48}{6} = 8
  4. 4

    The parent is 5 × 8 = 40.

  5. 5

    Check: 8 + 40 = 48 ✓ and 40 = 5 × 8 ✓.

LaTeX source of the formulas on this page
\[ x + 5x = 48\ \Rightarrow\ x = 8 \]
\[ x + 5x = 48 \]
\[ 6x = 48\ \Rightarrow\ x = \frac{48}{6} = 8 \]

Questions

How old is the child?

8.

How old is the parent?

40.

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    Parent is 5 times the child's age, total 48: 40 and 8 | WordGPT