WordGPT

A parent is 2 times as old as their child. Together they are 54. How old is each?

The child is 18 and the parent is 36.

Explain it step by step in chatMake a short video of it

How to work it out

  1. 1

    Let x be the child's age. The parent is 2 times as old, so the parent is 2x.

  2. 2

    Together they are 54:

    x+2x=54x + 2x = 54
  3. 3

    Combine the x terms and divide:

    3x=54 ⇒ x=543=183x = 54\ \Rightarrow\ x = \frac{54}{3} = 18
  4. 4

    The parent is 2 × 18 = 36.

  5. 5

    Check: 18 + 36 = 54 ✓ and 36 = 2 × 18 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 54\ \Rightarrow\ x = 18 \]
\[ x + 2x = 54 \]
\[ 3x = 54\ \Rightarrow\ x = \frac{54}{3} = 18 \]

Questions

How old is the child?

18.

How old is the parent?

36.

Similar problems

    Parent is 2 times the child's age, total 54: 36 and 18 | WordGPT