# Beth is 16 years younger than John. In 10 years time John will be twice as old as Beth. How old are they now?

1
by urch23

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by urch23

Please show workings

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then from the first sentence, we derive that beth is 16 yrs younger than john

x + 16 =y

from second sentence, we have that

y+10=2x

then we get the following equations

x+16=y ..........(eqn 1)

y+10=2x ........(eqn 2)

substituting y+x+16 from eqn 1 into equation 2, gives

x+16+10=2x

which gives x=26

then y=x +16...

y=26+16

y=42

beth is 26 years and john is 42 years