WordGPT

A parent is 3 times as old as their child. Together they are 20. How old is each?

The child is 5 and the parent is 15.

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 3 times as old, so the parent is 3x.

  2. 2

    Together they are 20:

    x+3x=20x + 3x = 20
  3. 3

    Combine the x terms and divide:

    4x=20 ⇒ x=204=54x = 20\ \Rightarrow\ x = \frac{20}{4} = 5
  4. 4

    The parent is 3 × 5 = 15.

  5. 5

    Check: 5 + 15 = 20 ✓ and 15 = 3 × 5 ✓.

LaTeX source of the formulas on this page
\[ x + 3x = 20\ \Rightarrow\ x = 5 \]
\[ x + 3x = 20 \]
\[ 4x = 20\ \Rightarrow\ x = \frac{20}{4} = 5 \]

Questions

How old is the child?

5.

How old is the parent?

15.

Similar problems

    Parent is 3 times the child's age, total 20: 15 and 5 | WordGPT