Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. What is Ralph's age now?

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Answer 1 · 2016-02-24T10:13:34

#18#

Let:
x=age of Sara
3x=age of Ralph

after 6 years:

x+6=age of Sara
3x+6=age of Ralph, where he will be twice as old as Sara

so that:

3x+6=2(x+6)
3x+6=2x+12
3x-2x=12-6
x=6

Therefore:

#x=6#=age of Sara
#3x=3(6)=18#=age of Ralph