Problema Solution

1/2 of ren's age added to 1/3 of paula's age is 11. six years form now, the sum of their ages will be 40.how old is each.

Answer provided by our tutors

let


r = the age of Ren

p = the age of Paula


1/2 of ren's age added to 1/3 of paula's age is 11


(1/2)r + (1/3)p = 11


six years form now, the sum of their ages will be 40


r + 6 + p + 6 = 40


by solving the system of equations


(1/2)r + (1/3)p = 11

r + 6 + p + 6 = 40


we find


p = 18 years


r = 10 years


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Paula is 18 years old now.

Ren is 10 years old now.