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A parent is 3 times as old as their child. Together they are 44. How old is each?

The child is 11 and the parent is 33.

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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 44:

    x+3x=44x + 3x = 44
  3. 3

    Combine the x terms and divide:

    4x=44 ⇒ x=444=114x = 44\ \Rightarrow\ x = \frac{44}{4} = 11
  4. 4

    The parent is 3 × 11 = 33.

  5. 5

    Check: 11 + 33 = 44 ✓ and 33 = 3 × 11 ✓.

LaTeX source of the formulas on this page
\[ x + 3x = 44\ \Rightarrow\ x = 11 \]
\[ x + 3x = 44 \]
\[ 4x = 44\ \Rightarrow\ x = \frac{44}{4} = 11 \]

Questions

How old is the child?

11.

How old is the parent?

33.

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    Parent is 3 times the child's age, total 44: 33 and 11 | WordGPT