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A parent is 4 times as old as their child. Together they are 55. How old is each?

The child is 11 and the parent is 44.

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How to work it out

  1. 1

    Let x be the child's age. The parent is 4 times as old, so the parent is 4x.

  2. 2

    Together they are 55:

    x+4x=55x + 4x = 55
  3. 3

    Combine the x terms and divide:

    5x=55 ⇒ x=555=115x = 55\ \Rightarrow\ x = \frac{55}{5} = 11
  4. 4

    The parent is 4 × 11 = 44.

  5. 5

    Check: 11 + 44 = 55 ✓ and 44 = 4 × 11 ✓.

LaTeX source of the formulas on this page
\[ x + 4x = 55\ \Rightarrow\ x = 11 \]
\[ x + 4x = 55 \]
\[ 5x = 55\ \Rightarrow\ x = \frac{55}{5} = 11 \]

Questions

How old is the child?

11.

How old is the parent?

44.

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    Parent is 4 times the child's age, total 55: 44 and 11 | WordGPT