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A parent is 2 times as old as their child. Together they are 57. How old is each?

The child is 19 and the parent is 38.

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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 57:

    x+2x=57x + 2x = 57
  3. 3

    Combine the x terms and divide:

    3x=57 ⇒ x=573=193x = 57\ \Rightarrow\ x = \frac{57}{3} = 19
  4. 4

    The parent is 2 × 19 = 38.

  5. 5

    Check: 19 + 38 = 57 ✓ and 38 = 2 × 19 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 57\ \Rightarrow\ x = 19 \]
\[ x + 2x = 57 \]
\[ 3x = 57\ \Rightarrow\ x = \frac{57}{3} = 19 \]

Questions

How old is the child?

19.

How old is the parent?

38.

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    Parent is 2 times the child's age, total 57: 38 and 19 | WordGPT