Problema Solution

Almira's present age is one more than twice the present age of Portia. If Portia turns 18, Almira's age wil be one less than thrice Portia's present age. Can you find their resent age?

Answer provided by our tutors

let


a = Almira's present age

p = Portia's present age


Almira's present age is one more than twice the present age of Portia


a = 1 + 2p


if Portia turns 18, Almira's age will be one less than thrice Portia's present age


a + (18 - p) = 3*p - 1


by solving the system of equations


a = 1 + 2p

a + (18 - p) = 3*p - 1


we find


a = 21 years


p = 10 years


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Almira is 21 years old now and Portia is 18 years old now.