Angela is three years older than twice her brother
| Book: | Competition math for middle school |
| Algebra: | 1.1 Variables and Euations |
| Page: | 2 |
| Writer: | Jason Batterson (J. Batterson) |
Question:
Angela is three years older than twice her brother thomas’ age. If angela is 17, how old is Thomas?
Answer:
Angela is three years older than twice Thomas’s age.
a = 3 + 2 t
Translating words into algebra is a skill that comes with practice. We substitute Angela’s age into the equation above and solve for t to get t= 7. If you don’t know how to do this, find a teacher or other adult to help you solve this equation, and then solve lots more like it. Here are a few basic equations to practice with. Solve each for x
\begin{aligned}
1.100\;& 3x - 7 = 8 \\
1.200\;& 2 - 3x = 7 \\
1.300\;& 2x - 7 = 8 - x \\
1.400\;& 3(x - 4) = 8 - 2x \\
1.500\;& \frac{x - 7}{2} = 4 \\
1.600\;& \frac{2}{3}x - 5 = \frac{6 - x}{3}
\end{aligned}