Multiple choice

Rex's present age is 2 years more than Scott's present age. If 'x' is Rex's age and 'y' is Scott's age, then which of the following linear equations represents this statement?

  1. 2x + y = 2

  2. x = 2y + 2

  3. x = y + 2

  4. x + y = 2

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Rex's age (x) is 2 years more than Scott's age (y). This translates to x = y + 2.

AI explanation

Let John's age be J, Emily's be E, Sarah's be S, and Michael's be M. The problem provides the equations J = E + 31, E = S + 3, and M = S - 5. The condition for three years from now is J + 3 = (E + 3) + (S + 3) + (M + 3), which simplifies to J = E + S + M + 6. Substituting the first three equations into this gives S + 34 = (S + 3) + S + (S - 5) + 6, which simplifies to S + 34 = 3S + 4. Solving for S gives S = 15, and since J = S + 34, John's present age is 49 years.