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
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X - S arah's age now
3x - Ralph is 3 times as old as Sarah, now
x+6 - Sarah's age in 6 years
2 (x+6) = 2x+12 - R alph will be only twice as old as Sarah will be in 6 years
Ralph's age in six year can be also written as 3x+6
So
Ralph's age now is 3x.
Ralph's age in six years is 2x+12 and 3x+6.
We can find age of Sara now,
2x+12=3x+6
3x-2x=12-6
x=6,
Ralph's age now is 3x=3*6=18
Now Sara is 6 years old, Ralph is 18 years old.
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