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A parent is 2 times as old as their child. Together they are 84. How old is each?

The child is 28 and the parent is 56.

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How to work it out

  1. 1

    Let x be the child's age. The parent is 2 times as old, so the parent is 2x.

  2. 2

    Together they are 84:

    x+2x=84x + 2x = 84
  3. 3

    Combine the x terms and divide:

    3x=84 ⇒ x=843=283x = 84\ \Rightarrow\ x = \frac{84}{3} = 28
  4. 4

    The parent is 2 × 28 = 56.

  5. 5

    Check: 28 + 56 = 84 ✓ and 56 = 2 × 28 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 84\ \Rightarrow\ x = 28 \]
\[ x + 2x = 84 \]
\[ 3x = 84\ \Rightarrow\ x = \frac{84}{3} = 28 \]

Questions

How old is the child?

28.

How old is the parent?

56.

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    Parent is 2 times the child's age, total 84: 56 and 28 | WordGPT