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A parent is 2 times as old as their child. Together they are 51. How old is each?

The child is 17 and the parent is 34.

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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 51:

    x+2x=51x + 2x = 51
  3. 3

    Combine the x terms and divide:

    3x=51 ⇒ x=513=173x = 51\ \Rightarrow\ x = \frac{51}{3} = 17
  4. 4

    The parent is 2 × 17 = 34.

  5. 5

    Check: 17 + 34 = 51 ✓ and 34 = 2 × 17 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 51\ \Rightarrow\ x = 17 \]
\[ x + 2x = 51 \]
\[ 3x = 51\ \Rightarrow\ x = \frac{51}{3} = 17 \]

Questions

How old is the child?

17.

How old is the parent?

34.

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    Parent is 2 times the child's age, total 51: 34 and 17 | WordGPT