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A parent is 3 times as old as their child. Together they are 48. How old is each?

The child is 12 and the parent is 36.

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How to work it out

  1. 1

    Let x be the child's age. The parent is 3 times as old, so the parent is 3x.

  2. 2

    Together they are 48:

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

    Combine the x terms and divide:

    4x=48 ⇒ x=484=124x = 48\ \Rightarrow\ x = \frac{48}{4} = 12
  4. 4

    The parent is 3 × 12 = 36.

  5. 5

    Check: 12 + 36 = 48 ✓ and 36 = 3 × 12 ✓.

LaTeX source of the formulas on this page
\[ x + 3x = 48\ \Rightarrow\ x = 12 \]
\[ x + 3x = 48 \]
\[ 4x = 48\ \Rightarrow\ x = \frac{48}{4} = 12 \]

Questions

How old is the child?

12.

How old is the parent?

36.

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    Parent is 3 times the child's age, total 48: 36 and 12 | WordGPT