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A parent is 2 times as old as their child. Together they are 93. How old is each?

The child is 31 and the parent is 62.

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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 93:

    x+2x=93x + 2x = 93
  3. 3

    Combine the x terms and divide:

    3x=93 ⇒ x=933=313x = 93\ \Rightarrow\ x = \frac{93}{3} = 31
  4. 4

    The parent is 2 × 31 = 62.

  5. 5

    Check: 31 + 62 = 93 ✓ and 62 = 2 × 31 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 93\ \Rightarrow\ x = 31 \]
\[ x + 2x = 93 \]
\[ 3x = 93\ \Rightarrow\ x = \frac{93}{3} = 31 \]

Questions

How old is the child?

31.

How old is the parent?

62.

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    Parent is 2 times the child's age, total 93: 62 and 31 | WordGPT