Question

In 3 years, Dianna will be 4 times as old as she was 33 years ago. How old is Dianna now? Choose the most logical value for the variable to represent

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Answer 1

45 years old

Explanation:

Suppose Dianna age 33 years ago = x

Dianna age today = x + 33

Dianna age after 3 years = (x + 33) + 3

In 3 years, Dianna will be 4 times as old as she was 33 years ago

Equation

4x = (x+33) + 3

4x = x + 36

4x - x = 36

3x = 36

x = 36/3

x = 12

Dianna age today = x + 33 = 12 + 33 = 45

Diana is 45 years old.

Answer 2

45 years

Explanation:

Let the age of Dianna 33 years ago be x years

Age of Dianna now= (x+33) years

After 3 years, age of Dianna= (x+ 33+3) years

After 3 years, age of Dianna= (x+ 36) years

In 3 years, Dianna will be 4 times as old as she was 33 years ago.

According to question,

4x= x+ 36

4x-x=36

3x=36

x=36÷3

x=12 years

Age of Dianna now= (12+33) years

Now, Age of Dianana= 45 years

Hence, the correct answer is 45 years