3. Adrian is 8 years older than his brother, Jose. In 3 years he will be twice as old as his brother. Find the present age of each.​

Answers

Answer 1

Answer:

Age of Jose =  5 years

Age of Adrian = 13 years

Step-by-step explanation:

Let:

Age of Jose = x

Age of Adrian = x+8

After 3 years

Age of Jose = x+3

Age of Adrian = x+8+3 = x+11

Now, we are given, in 3 years he will be twice as old as his brother.

So, we can write

Age of Adrian = 2 (Age of Jose)

x+11 = 2(x+3)

x+11=2x+6

2x-x=11-6

x=5

So, we get value of x = 5

Now, the present ages will be:

Age of Jose = x = 5 years

Age of Adrian = x+8 = 5+8 = 13 years

Answer 2
CALCULATING AGES

Problem:

Adrian is 8 years older than his brother, Jose. In 3 years, he will be twice as old as his brother. Find the present age of each.

Answer:Jose is currently 5 years old.Adrian is currently 13 years old.

Solution and Explanation:

Let's represent the age of Jose as [tex]\large\rm x[/tex]

According to the problem, Adrian is 8 years older than Jose, so Adrian's age can be represented as [tex]\large\rm x + 8[/tex].

In 3 years, Adrian's age will be [tex]\large\rm (x + 8) + 3[/tex] and Jose's age will be [tex]\large\rm (x + 3)[/tex].

The problem also tells us that in 3 years, Adrian will be twice as old as Jose:

[tex]\Large\begin{aligned}\rm{(x + 8) + 3}& =\rm{2(x + 3)}\\\rm{x + 11}&=\rm{2x +6}\\\rm{\cancel{x\red{-x}} + 11}&=\rm{2x \red{-x} + 6}\\\rm{11}&=\rm{x + 6}\\\rm{11\red{-6}}&=\rm{x + \cancel{6\red{-6}}}\\\bold{5}&=\rm{x}\end{aligned}[/tex]

So Jose is currently 5 years old.

To find Adrian's age, we can use the fact that Adrian is 8 years older than Jose:

[tex]\Large\begin{aligned}\rm{Adrian's\: age}& =\rm{x + 8}\\\rm{Adrian's\: age}&=\rm{\red{5} + 8}\\\rm{Adrian's\: age}&=\bold{13}\end{aligned}[/tex]

Therefore:

Jose is currently 5 years old.Adrian is currently 13 years old.

[tex]\\\\[/tex]

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

Given points are:

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The distance between given points is: 4.12 units

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