Question

Denise is 7 years younger than Alma. Misty is

twice as old as Alma. All together, they have
an age of 37. How old is Denise?

Answer 1

Denise is 4 years old

Explanation:

Let the age of Denise be x years.

We are told that Denise is 7 years younger than Alma. Thus, Alma's age is; (x + 7)

Now, misty is twice as old as Alma. Thus age of misty is; 2(x + 7).

If their total ages are 37,then we can say;

x + (x + 7) + 2(x + 7) = 37

x + x + 7 + 2x + 14 = 37

2x + 7 + 2x + 14 = 37

4x + 21 = 37

4x = 37 - 21

4x = 16

x = 4

Denis is 4 years old