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A parent is 3 times as old as their child. Together they are 64. How old is each?

The child is 16 and the parent is 48.

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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 64:

    x+3x=64x + 3x = 64
  3. 3

    Combine the x terms and divide:

    4x=64 ⇒ x=644=164x = 64\ \Rightarrow\ x = \frac{64}{4} = 16
  4. 4

    The parent is 3 × 16 = 48.

  5. 5

    Check: 16 + 48 = 64 ✓ and 48 = 3 × 16 ✓.

LaTeX source of the formulas on this page
\[ x + 3x = 64\ \Rightarrow\ x = 16 \]
\[ x + 3x = 64 \]
\[ 4x = 64\ \Rightarrow\ x = \frac{64}{4} = 16 \]

Questions

How old is the child?

16.

How old is the parent?

48.

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    Parent is 3 times the child's age, total 64: 48 and 16 | WordGPT