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A parent is 2 times as old as their child. Together they are 75. How old is each?

The child is 25 and the parent is 50.

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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 75:

    x+2x=75x + 2x = 75
  3. 3

    Combine the x terms and divide:

    3x=75 ⇒ x=753=253x = 75\ \Rightarrow\ x = \frac{75}{3} = 25
  4. 4

    The parent is 2 × 25 = 50.

  5. 5

    Check: 25 + 50 = 75 ✓ and 50 = 2 × 25 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 75\ \Rightarrow\ x = 25 \]
\[ x + 2x = 75 \]
\[ 3x = 75\ \Rightarrow\ x = \frac{75}{3} = 25 \]

Questions

How old is the child?

25.

How old is the parent?

50.

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    Parent is 2 times the child's age, total 75: 50 and 25 | WordGPT