WordGPT

A parent is 3 times as old as their child. Together they are 60. How old is each?

The child is 15 and the parent is 45.

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 60:

    x+3x=60x + 3x = 60
  3. 3

    Combine the x terms and divide:

    4x=60 ⇒ x=604=154x = 60\ \Rightarrow\ x = \frac{60}{4} = 15
  4. 4

    The parent is 3 × 15 = 45.

  5. 5

    Check: 15 + 45 = 60 ✓ and 45 = 3 × 15 ✓.

LaTeX source of the formulas on this page
\[ x + 3x = 60\ \Rightarrow\ x = 15 \]
\[ x + 3x = 60 \]
\[ 4x = 60\ \Rightarrow\ x = \frac{60}{4} = 15 \]

Questions

How old is the child?

15.

How old is the parent?

45.

Similar problems

    Parent is 3 times the child's age, total 60: 45 and 15 | WordGPT