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?


2x
6x
2x + 6
3x + 6

Answer 1

Let r = ralphs age, and x=saras age
in six years, ralph will be r+6 years old, and sara will be x+6 years old.
but since ralph will be two times as old as sara,
(r+6)=2(x+6)
you just have to simplify that equation and solve for r.

i hope that helped!

Answer 2

ralph = r
sara = s

ralph is TODAY, 3 times older, so if sara is "s" old, ralph is 3s
r = 3s

in 6 years, ralph will be 2 times as old as sara THEN,
in 6 years ralph will be TODAY's age plus 6, so r + 6
so if sara is "s" old, r+ 6 = 2s

r + 6 = 2s

Answer 3

i agree completely with @jdoe0001