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A parent is 2 times as old as their child. Together they are 90. How old is each?

The child is 30 and the parent is 60.

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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 90:

    x+2x=90x + 2x = 90
  3. 3

    Combine the x terms and divide:

    3x=90 ⇒ x=903=303x = 90\ \Rightarrow\ x = \frac{90}{3} = 30
  4. 4

    The parent is 2 × 30 = 60.

  5. 5

    Check: 30 + 60 = 90 ✓ and 60 = 2 × 30 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 90\ \Rightarrow\ x = 30 \]
\[ x + 2x = 90 \]
\[ 3x = 90\ \Rightarrow\ x = \frac{90}{3} = 30 \]

Questions

How old is the child?

30.

How old is the parent?

60.

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    Parent is 2 times the child's age, total 90: 60 and 30 | WordGPT