Huilan is 10 years older than Thomas. The sum of their ages is 74. What is Thomas's age?
Let's represent Thomas's age as T and Huilan's age as H.
Given that Huilan is 10 years older than Thomas, we can write the equation H = T + 10.
We are also given that the sum of their ages is 74, so we can write another equation T + H = 74.
Substitute the first equation into the second equation: T + (T + 10) = 74.
Combine like terms: 2T + 10 = 74.
Subtract 10 from both sides: 2T = 64.
Divide by 2: T = 32.
Therefore, Thomas is 32 years old.