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A parent is 2 times as old as their child. Together they are 36. How old is each?

The child is 12 and the parent is 24.

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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 36:

    x+2x=36x + 2x = 36
  3. 3

    Combine the x terms and divide:

    3x=36 ⇒ x=363=123x = 36\ \Rightarrow\ x = \frac{36}{3} = 12
  4. 4

    The parent is 2 × 12 = 24.

  5. 5

    Check: 12 + 24 = 36 ✓ and 24 = 2 × 12 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 36\ \Rightarrow\ x = 12 \]
\[ x + 2x = 36 \]
\[ 3x = 36\ \Rightarrow\ x = \frac{36}{3} = 12 \]

Questions

How old is the child?

12.

How old is the parent?

24.

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    Parent is 2 times the child's age, total 36: 24 and 12 | WordGPT