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A parent is 2 times as old as their child. Together they are 78. How old is each?

The child is 26 and the parent is 52.

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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 78:

    x+2x=78x + 2x = 78
  3. 3

    Combine the x terms and divide:

    3x=78 ⇒ x=783=263x = 78\ \Rightarrow\ x = \frac{78}{3} = 26
  4. 4

    The parent is 2 × 26 = 52.

  5. 5

    Check: 26 + 52 = 78 ✓ and 52 = 2 × 26 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 78\ \Rightarrow\ x = 26 \]
\[ x + 2x = 78 \]
\[ 3x = 78\ \Rightarrow\ x = \frac{78}{3} = 26 \]

Questions

How old is the child?

26.

How old is the parent?

52.

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    Parent is 2 times the child's age, total 78: 52 and 26 | WordGPT