Problema Solution
The sum of 4 times a girl's age and 7 times a boy's age if 169. The boy is 1 year older than twice the age of rhe girl. Fin how old each will be in 10 years from now.
Answer provided by our tutors
let
g = the age of the girl
b = the age of the girl
the sum of 4 times a girl's age and 7 times a boy's age is 169
4g + 7b = 169
the boy is 1 year older than twice the age of the girl
b = 1 + 2g
by solving the system of equations
4g + 7b = 169
b = 1 + 2g
we find
g = 9 years old now
b = 19 years old now
click here to see the step by step solution of the system of equations
in 10 years the girl will be 9 + 10 = 19 years old.
in 10 years the boy will be 19 + 10 = 29 years old.