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A parent is 3 times as old as their child. Together they are 96. How old is each?

The child is 24 and the parent is 72.

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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 96:

    x+3x=96x + 3x = 96
  3. 3

    Combine the x terms and divide:

    4x=96 ⇒ x=964=244x = 96\ \Rightarrow\ x = \frac{96}{4} = 24
  4. 4

    The parent is 3 × 24 = 72.

  5. 5

    Check: 24 + 72 = 96 ✓ and 72 = 3 × 24 ✓.

LaTeX source of the formulas on this page
\[ x + 3x = 96\ \Rightarrow\ x = 24 \]
\[ x + 3x = 96 \]
\[ 4x = 96\ \Rightarrow\ x = \frac{96}{4} = 24 \]

Questions

How old is the child?

24.

How old is the parent?

72.

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    Parent is 3 times the child's age, total 96: 72 and 24 | WordGPT