WordGPT

A parent is 2 times as old as their child. Together they are 30. How old is each?

The child is 10 and the parent is 20.

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 30:

    x+2x=30x + 2x = 30
  3. 3

    Combine the x terms and divide:

    3x=30 ⇒ x=303=103x = 30\ \Rightarrow\ x = \frac{30}{3} = 10
  4. 4

    The parent is 2 × 10 = 20.

  5. 5

    Check: 10 + 20 = 30 ✓ and 20 = 2 × 10 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 30\ \Rightarrow\ x = 10 \]
\[ x + 2x = 30 \]
\[ 3x = 30\ \Rightarrow\ x = \frac{30}{3} = 10 \]

Questions

How old is the child?

10.

How old is the parent?

20.

Similar problems

    Parent is 2 times the child's age, total 30: 20 and 10 | WordGPT