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A parent is 4 times as old as their child. Together they are 95. How old is each?

The child is 19 and the parent is 76.

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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 95:

    x+4x=95x + 4x = 95
  3. 3

    Combine the x terms and divide:

    5x=95 ⇒ x=955=195x = 95\ \Rightarrow\ x = \frac{95}{5} = 19
  4. 4

    The parent is 4 × 19 = 76.

  5. 5

    Check: 19 + 76 = 95 ✓ and 76 = 4 × 19 ✓.

LaTeX source of the formulas on this page
\[ x + 4x = 95\ \Rightarrow\ x = 19 \]
\[ x + 4x = 95 \]
\[ 5x = 95\ \Rightarrow\ x = \frac{95}{5} = 19 \]

Questions

How old is the child?

19.

How old is the parent?

76.

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    Parent is 4 times the child's age, total 95: 76 and 19 | WordGPT