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A parent is 2 times as old as their child. Together they are 99. How old is each?

The child is 33 and the parent is 66.

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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 99:

    x+2x=99x + 2x = 99
  3. 3

    Combine the x terms and divide:

    3x=99 ⇒ x=993=333x = 99\ \Rightarrow\ x = \frac{99}{3} = 33
  4. 4

    The parent is 2 × 33 = 66.

  5. 5

    Check: 33 + 66 = 99 ✓ and 66 = 2 × 33 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 99\ \Rightarrow\ x = 33 \]
\[ x + 2x = 99 \]
\[ 3x = 99\ \Rightarrow\ x = \frac{99}{3} = 33 \]

Questions

How old is the child?

33.

How old is the parent?

66.

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      Parent is 2 times the child's age, total 99: 66 and 33 | WordGPT