Question

Ralph is 3 times as old as Sara in 4 years, Ralph will be only twice as old as Sara will be then. Find Ralphi's age now

Answer 1

Answer:

Step-by-step explanation: Let x represents Sara's age, since Ralph is 3 times as old, the Ralph's age will be 3x.

In 4 years time, Sara will be  x+ 4 , Ralph will also be 3x + 4

It was said that Ralph will be as twice as Sara's age in 4 years

⇒ 3x + 4 = 2 ( x+4)

⇒  3x + 4 = 2x + 8

collecting the like terms

3x - 2x = 8 - 4

        x = 4

Since x represents Sara's age, then Sara is 4 years and since Ralph is presently 3 times Sara's age, then Ralph's age is 3 x 4 = 12 years