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A parent is 2 times as old as their child. Together they are 45. How old is each?

The child is 15 and the parent is 30.

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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 45:

    x+2x=45x + 2x = 45
  3. 3

    Combine the x terms and divide:

    3x=45 ⇒ x=453=153x = 45\ \Rightarrow\ x = \frac{45}{3} = 15
  4. 4

    The parent is 2 × 15 = 30.

  5. 5

    Check: 15 + 30 = 45 ✓ and 30 = 2 × 15 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 45\ \Rightarrow\ x = 15 \]
\[ x + 2x = 45 \]
\[ 3x = 45\ \Rightarrow\ x = \frac{45}{3} = 15 \]

Questions

How old is the child?

15.

How old is the parent?

30.

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    Parent is 2 times the child's age, total 45: 30 and 15 | WordGPT