Question

Donnie is 7 years old. Donnie's age is 3 years less than half of Ana's age. The relationship between the ages can be modeled by the equation 1/2x - 3 = 7, where x is Ana's age. How old is Ana?

Answer 1

20 years old

Explanation:

Donnie is 7 years old. Donnie's age is 3 years less than half of Ana's age.

The relationship between the ages can be modeled by the equation

1/2x - 3 = 7, where

x is Ana's age.

Hence:

= x/2 - 3 = 7

Add 3 to both sides

1/2x - 3 + 3 = 7 + 3

1/2x = 10

x/2 = 10

Cross Multiply

x = 2 × 10

x = 20 years old.

Therefore, Ana is 20 years old.