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A parent is 3 times as old as their child. Together they are 68. How old is each?

The child is 17 and the parent is 51.

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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 68:

    x+3x=68x + 3x = 68
  3. 3

    Combine the x terms and divide:

    4x=68 ⇒ x=684=174x = 68\ \Rightarrow\ x = \frac{68}{4} = 17
  4. 4

    The parent is 3 × 17 = 51.

  5. 5

    Check: 17 + 51 = 68 ✓ and 51 = 3 × 17 ✓.

LaTeX source of the formulas on this page
\[ x + 3x = 68\ \Rightarrow\ x = 17 \]
\[ x + 3x = 68 \]
\[ 4x = 68\ \Rightarrow\ x = \frac{68}{4} = 17 \]

Questions

How old is the child?

17.

How old is the parent?

51.

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    Parent is 3 times the child's age, total 68: 51 and 17 | WordGPT