Problema Solution

Brad is 7 years older than Pedro. Nine years ago Pedro's age was three-fourths of Brad's age at that time. Find the present ages of Brad and Pedro.

Answer provided by our tutors

let


b = the present age of Brad

p = the present age of Pedro


Brad is 7 years older than Pedro


b = p + 7


Nine years ago Pedro's age was three-fourths of Brad's age at that time


p - 9 = (3/4)(b - 9)


by solving the system of equations


b = p + 7

p - 9 = (3/4)(b - 9)


we find


b = 37 years


p = 30 years


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Brad is 37 years old now.

Pedro is 30 years old now.