Problema Solution

kevin is 21 years older than his sister barbara. In 16 years, he will be twice as old as barbara. How old is each of them now?

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Let


k = Kevin's age now, k>0


b = Barbara's age now, b>0


Kevin is 21 years older than his sister Barbara:


k = b + 21


In 16 years, he will be twice as old as Barbara:


k + 16 = 2*(b + 16)


We have the following system:


k = b + 21


k + 16 = 2*(b + 16)

........


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........

k = 26 years


b = 5 years


Kevin is 21 years old now.


Barbara is 5 years old now.