R = 3S
R + 6 = 2 (S+6)
Substitute the first equation in the second one:
(3S) + 6 = 2 (S + 6)
3S + 6 = 2S + 12
S + 6 = 12
R = 18 S = 6 Check:
R is 3 times S now.
In 6 years, R will be (18 + 6) = 24, S will be (6 + 6) = 12.
24 = 2 x 12 yay
Ralph is currently 18 years old, and Sara is 6 years old. In 6 years, Ralph will be 24 and Sara will be 12, confirming that Ralph will be twice as old as Sara. This solution uses basic algebra to derive their ages based on the given relationships.
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