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A parent is 2 times as old as their child. Together they are 60. How old is each?

The child is 20 and the parent is 40.

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 60:

    x+2x=60x + 2x = 60
  3. 3

    Combine the x terms and divide:

    3x=60 ⇒ x=603=203x = 60\ \Rightarrow\ x = \frac{60}{3} = 20
  4. 4

    The parent is 2 × 20 = 40.

  5. 5

    Check: 20 + 40 = 60 ✓ and 40 = 2 × 20 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 60\ \Rightarrow\ x = 20 \]
\[ x + 2x = 60 \]
\[ 3x = 60\ \Rightarrow\ x = \frac{60}{3} = 20 \]

Questions

How old is the child?

20.

How old is the parent?

40.

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    Parent is 2 times the child's age, total 60: 40 and 20 | WordGPT