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A parent is 2 times as old as their child. Together they are 33. How old is each?

The child is 11 and the parent is 22.

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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 33:

    x+2x=33x + 2x = 33
  3. 3

    Combine the x terms and divide:

    3x=33 ⇒ x=333=113x = 33\ \Rightarrow\ x = \frac{33}{3} = 11
  4. 4

    The parent is 2 × 11 = 22.

  5. 5

    Check: 11 + 22 = 33 ✓ and 22 = 2 × 11 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 33\ \Rightarrow\ x = 11 \]
\[ x + 2x = 33 \]
\[ 3x = 33\ \Rightarrow\ x = \frac{33}{3} = 11 \]

Questions

How old is the child?

11.

How old is the parent?

22.

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    Parent is 2 times the child's age, total 33: 22 and 11 | WordGPT