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

was 33 years ago. How old is Dianna now?

Translate the phrase "in 3 years" into algebraic

terms.

Present age of Dianna is 45 years old

Solution:

Let "x" be the present age of Dianna

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

Then: In three years time Diana's age would be x + 3

And: thirty three years ago it would have been x - 33

From given question,

x + 3 = 4 times as old as she was 33 years ago

x + 3 = 4 (x - 33)

x + 3 = 4x - 132

x - 4x = - 132 - 3

-3x = - 135

x = 45

Thus present age of Dianna is 45 years old