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A parent is 3 times as old as their child. Together they are 28. How old is each?

The child is 7 and the parent is 21.

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How to work it out

  1. 1

    Let x be the child's age. The parent is 3 times as old, so the parent is 3x.

  2. 2

    Together they are 28:

    x+3x=28x + 3x = 28
  3. 3

    Combine the x terms and divide:

    4x=28 ⇒ x=284=74x = 28\ \Rightarrow\ x = \frac{28}{4} = 7
  4. 4

    The parent is 3 × 7 = 21.

  5. 5

    Check: 7 + 21 = 28 ✓ and 21 = 3 × 7 ✓.

LaTeX source of the formulas on this page
\[ x + 3x = 28\ \Rightarrow\ x = 7 \]
\[ x + 3x = 28 \]
\[ 4x = 28\ \Rightarrow\ x = \frac{28}{4} = 7 \]

Questions

How old is the child?

7.

How old is the parent?

21.

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    Parent is 3 times the child's age, total 28: 21 and 7 | WordGPT