WordGPT

A parent is 3 times as old as their child. Together they are 36. How old is each?

The child is 9 and the parent is 27.

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 36:

    x+3x=36x + 3x = 36
  3. 3

    Combine the x terms and divide:

    4x=36 ⇒ x=364=94x = 36\ \Rightarrow\ x = \frac{36}{4} = 9
  4. 4

    The parent is 3 × 9 = 27.

  5. 5

    Check: 9 + 27 = 36 ✓ and 27 = 3 × 9 ✓.

LaTeX source of the formulas on this page
\[ x + 3x = 36\ \Rightarrow\ x = 9 \]
\[ x + 3x = 36 \]
\[ 4x = 36\ \Rightarrow\ x = \frac{36}{4} = 9 \]

Questions

How old is the child?

9.

How old is the parent?

27.

Similar problems

    Parent is 3 times the child's age, total 36: 27 and 9 | WordGPT