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Let you be x years old now

Let your sister be y years old now

Right now:

x+3 = y

In 20 years you are x+20 and your sister is y+20 years old

(y+20)=2x

plugging in y from the first equation:

[(x+3)+20]=2x

x+23=2x

x = 23

y = 23+3 = 26

To check, the answer if you are 23 now an your sister is 26 now in 20 years your sister will be 46 which is twice 23.

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14y ago
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Q: If you are Three years older than your sister and in 20 years your sister will be twice as old as you are now how old is your sister and you?
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