A parent is 2 times as old as their child. Together they are 60. How old is each?
The child is 20 and the parent is 40.
How to work it out
- 1
Let x be the child's age. The parent is 2 times as old, so the parent is 2x.
- 2
Together they are 60:
- 3
Combine the x terms and divide:
- 4
The parent is 2 × 20 = 40.
- 5
Check: 20 + 40 = 60 ✓ and 40 = 2 × 20 ✓.
LaTeX source of the formulas on this page
\[ x + 2x = 60\ \Rightarrow\ x = 20 \]
\[ x + 2x = 60 \]
\[ 3x = 60\ \Rightarrow\ x = \frac{60}{3} = 20 \]Questions
How old is the child?
20.
How old is the parent?
40.