Laura takes very good care of her vehicles. She owns a blue van and a red truck. Although she bought them both new, she has owned the truck for years longer than she has owned the van. If the sum of the ages of the vehicles is years, how old is the van and how old is the truck?

Laura takes very good care of her vehicles. She owns a blue van and a red truck. Although she bought them both new, she has owned the truck for 17 years longer than she has owned the van. If the sum of the ages of the vehicles is 41 years, how old is the van and how old is the truck?

Let us assume the number of years Laura has owned the van = S years

So, according to the question:

The number of years she has owned truck = S + 17 years

Now, Sum of the age of ( Truck + Van) = 41 years

⇒ (S + 17 years) + (S years) = 41 years

or, 2 S + 17 = 41

or, 2 S = 4 1 -1 7 = 24

or, S = 24/2 = 12 years

or, S = 12 years

Hence the age of the van owned = 12 years

The age of the truck owned = S + 17 = 12 + 17 = 29 years

AFOKE88 AFOKE88 · Answer 2 · 2022-01-14T12:08:02+01:00

The ages of the van and truck from the question are;

Age of Van = 12 years

Age of truck = 29 years

Algebra word problem

Let the age of the van be x years.

Now, we are told that she has owned the truck for 17 years more than the van. Thus;

Age of Truck = x + 17 years

The total age of the truck and van is 41 years.

Thus;

x + x + 17 = 41

2x = 41 - 17

2x = 24

x = 24/2

x = 12 years

Thus;

Age of van = 12 years

Age of truck = 12 + 17 = 29 years

Complete question is;

Laura takes very good care of her vehicles. She owns a blue van and a red truck. Although she bought them both new, she has owned the truck for 17 years longer than she has owned the van. If the sum of the ages of the vehicles is 41 years, how old is the van and how old is the truck?

Read more about Algebra word problem at; https://brainly.com/question/13818690