Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now. Ralph's age is _____. 6 12 18 24

Respuesta :

18 is the correct answer!

Answer:

Ralph age = 18.

Step-by-step explanation:

Given  : Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then.

To find : Find Ralph's age now.

Solution : We have given

Ralph is 3 times as old as Sara.

Let the Sara age =  x

According to question :

Ralph age = 3 x .

After 6 year

Ralph age would be  3x + 6 = 2( x + 6 ).

According to question :

3x +6 = 2 ( x + 6).

3x + 6 = 2x +12 .

On subtracting both sides b 2x.

3x -2x + 6 = 12 .

x + 6 = 12 .

On subtracting both sides by 6

x = 12 -6.

x = 6.

Sara age = 6 .

Ralph age = 18.

Therefore, Ralph age = 18.