Alan is 30 years old, and Vanessa is 22 years old. How many years ago was Alan twice as old as Vanessa?

(Algebra 1 type word problem)


Sagot :

The number of years past when Alan was twice Vanessa's age is 14 years.

Current ages :

  • Alan = 30 years
  • Vanessa = 22 years

We can set up an equation where, x = number of years when Alan was 2 times Vanessa's age thus :

30 - x = 2(22 - x)

30 - x = 44 - 2x

Collect like terms

-x + 2x = 44 - 30

x = 14

Therefore, 14 years ago, Alan's age was twice Vanessa's age.

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Alan's age was twice Vanessa's age 14 years ago.

Let's represent v , as the number of years, Alan was twice as old as Vanessa

Their Current ages were given as:

Alan = 30 years

Vanessa = 22 years

Our system of equation is given as:

30 - v = 2(22 - v)

30 - v = 44 - 2v

Collect like terms

2v - v = 44 - 30

v = 14

Therefore,  Alan's age was twice Vanessa's age 14 years ago.

To learn more, visit the link below:

https://brainly.com/question/17125057