Question

George is four time as old as john. After 8 year , he will be twice as old as john . Find the present age of george.

Answer 1

Given :

• George is four times as old as John.
• After 8 years , he will be twice as old as John.

To find :

• Present age of George.

Solution :

Let the present age of John be x years and the present age of George be y years.

According to 1st condition :-

• George is four time as old as John.

$\implies\sf{y =4x...........eq(1)}$

According to 2nd condition :-

• After 8 years, George will be twice as old as John.

After 8 years,

• Age of George = (y+8) years
• Age of John = (x+8) years

$\implies\sf{y+8=2(x+8)}$

Put y = 4x from eq(1).

$\implies\sf{4x+8=2x+16}$

$\implies\sf{4x-2x=16-8}$

$\implies\sf{2x=8}$

$\implies\sf{x=4}$

Now put x = 4 in eq(1) for getting the value of y.

$\implies\sf{y=4\times\:4}$

$\implies\sf{y=16}$

Therefore, the present age of George is 16 years.

Answer 2

$\huge\underline\mathrm{SOLUTION:-}$

AnswEr:

• Present age of George = 16 year's.

Given:

• George is four time as old as john. After 8 year , he will be twice as old as john.

Need To Find:

• Present age of George = ?

ExPlanation:

Let, John age be x.

Then, George age be 4x.

Now,

After 8 years john age = x + 8

After 8 years George age = 4x + 8

According to the given question:

4x + 8 = 2( x + 8)

4x + 8 = 2x + 16

4x - 2x = 16 - 8

2x = 8

x = 8/2

x = 4

Therefore:

• We know that value of x = 4

Hence:

• Present age of George = 4x ➮ 4 × 4 = 16 year's.

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