Algebra inequality

Question

Lila is n years old. Alya's age is 4 more than two time’s Lila’s age. Which expressions best represents Alya’s age 5 years ago in terms of Lila’s age?

Answer 1

The pitfall in this problem that we are trying to find an expression for Alya's age 5 years ago. That must be accounted for in the final expression.

n = Lila's current age. Twice Lila's age would be 2n. 4 more than that would be 2n+4.

Thus, Alya's CURRENT age is represented by the expression 2n+4.

To find Alya's age five years ago, we need to subtract 5 from her current age.

Alya's age 5 years ago is 2n+4-5.

Combine like terms to get the final expression, 2n-1.

Answer 2

Lila is n years old. Alya's age is 4 more than two time’s Lila’s age.

Two times Lila's age is 2n. Four more than that is 2n + 4. So Alya's age in 2n + 4.