Donna is 14 years older than her cousin Cash. She is also 3 times as old as Cash. Let X represent Cash’s current age and write an equation to solve for their ages.

Question

Mostly need Donna’s age and steps.

Answer 1

Let's let the variable y represent Donna's age and the variable x represent Cash's current age.

Then since Donna is 14 years older than Cash, we can write:

y = x + 14

Also Donna is 3 times as old as Cash, so we can write:

y = 3x

Since both these equations are equal to y, we can write:

x + 14 = 3x

We can subtract x from both sides of the equation and divide by 2 to solve:

x + 14 - x = 3x - x

14 = 2x

14/2 = 2x/2

x = 7 years old (Cash's age)

Donna's age would be x + 14 = 7 + 14 = 21 years old (Donna's age)