Problema Solution

A's age in 20 years will be the same as B's age now. Ten years from now, B's age will be twice A's age. how old is each one now?

Answer provided by our tutors

let


a = the age of A now

b = the age of B now


A's age in 20 years will be the same as B's age now


a + 20 = b


10 years from now, B's age will be twice A's age


b + 10 = 2(a + 10)


by solving the system of equations


a + 20 = b

b + 10 = 2(a + 10)


we find


a = 10 years


b = 30 years


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A is 10 years old now.

B is 30 years old now.