Question

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.If x represents Sarah's age now, which of the following expressions represents Ralph's age in six years?

Answer 1

Explanation:

x years - Sara (now)

3x years - Ralph (now)

(x + 6) - Sara (in 6 years)

(3x + 6) - Ralph (in 6 years)

1) 3x + 6 = (x + 6) * 2

3x + 6 = 2x + 12

3x - 2x = 12 - 6

x = 6 years - Sara (now)

2) 6 * 3 = 18 years - Ralph (now)

In 6 years :

6 + 6 = 12 - Sara

18 + 6 = 24 - Ralph

24: 12 = 2 - twice as old as Sara/

Answer 2

x years - Sara (now)
3x years - Ralph (now)

(x + 6) - Sara (in 6 years)
(3x + 6) - Ralph (in 6 years)

1) 3x + 6 = (x + 6) * 2
3x + 6 = 2x + 12
3x - 2x = 12 - 6
x = 6 years - Sara (now)
2) 6 * 3 = 18 years - Ralph (now)

In 6 years :
6 + 6 = 12 - Sara
18 + 6 = 24 - Ralph
24 : 12 = 2 - twice as old as Sara/