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A parent is 3 times as old as their child. Together they are 92. How old is each?

The child is 23 and the parent is 69.

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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 92:

    x+3x=92x + 3x = 92
  3. 3

    Combine the x terms and divide:

    4x=92 ⇒ x=924=234x = 92\ \Rightarrow\ x = \frac{92}{4} = 23
  4. 4

    The parent is 3 × 23 = 69.

  5. 5

    Check: 23 + 69 = 92 ✓ and 69 = 3 × 23 ✓.

LaTeX source of the formulas on this page
\[ x + 3x = 92\ \Rightarrow\ x = 23 \]
\[ x + 3x = 92 \]
\[ 4x = 92\ \Rightarrow\ x = \frac{92}{4} = 23 \]

Questions

How old is the child?

23.

How old is the parent?

69.

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    Parent is 3 times the child's age, total 92: 69 and 23 | WordGPT