Chen, Bo, Mei, and Huan were each born 1 year apart. Chen is the youngest and Huan is the oldest. The sum of their ages is 74.

Which equation can be used to determine the age, a, of Chen?

(1 point)

1 answer

Let Chen's age be \( a \). Since they are each born 1 year apart, we can express the ages of the others as follows:

  • Chen (youngest): \( a \)
  • Bo: \( a + 1 \)
  • Mei: \( a + 2 \)
  • Huan (oldest): \( a + 3 \)

Now, we can write the equation for the sum of their ages:

\[ a + (a + 1) + (a + 2) + (a + 3) = 74 \]

Simplifying this equation:

\[ 4a + 6 = 74 \]

Now, we can restructure it to:

\[ 4a = 74 - 6 \] \[ 4a = 68 \]

Therefore, the equation that can be used to determine the age of Chen is:

\[ 4a + 6 = 74 \]