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A parent is 4 times as old as their child. Together they are 75. How old is each?

The child is 15 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 4 times as old, so the parent is 4x.

  2. 2

    Together they are 75:

    x+4x=75x + 4x = 75
  3. 3

    Combine the x terms and divide:

    5x=75 ⇒ x=755=155x = 75\ \Rightarrow\ x = \frac{75}{5} = 15
  4. 4

    The parent is 4 × 15 = 60.

  5. 5

    Check: 15 + 60 = 75 ✓ and 60 = 4 × 15 ✓.

LaTeX source of the formulas on this page
\[ x + 4x = 75\ \Rightarrow\ x = 15 \]
\[ x + 4x = 75 \]
\[ 5x = 75\ \Rightarrow\ x = \frac{75}{5} = 15 \]

Questions

How old is the child?

15.

How old is the parent?

60.

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    Parent is 4 times the child's age, total 75: 60 and 15 | WordGPT