Problema Solution
the weight of two boys are in the ratio 8:13 if they each reduced by 6 pounds the ratio is 3:5 find their weights now
Answer provided by our tutors
let 'x' and 'y' represent the weight of the two boys
the weight of two boys are in the ratio 8:13
x : y = 8 : 13 cross multiply
13x = 8y
if they each reduced by 6 pounds the ratio is 3:5
(x - 6) : (y - 6) = 3 : 5 cross multiply
5(x - 6) = 3(y - 6)
by solving the system of equations
13x = 8y
5(x - 6) = 3(y - 6)
we find
x = 96 lbs
y = 156 lbs
click here to see the step by step solution of the system of equations
the weights of the two boys are 96 pounds and 156 pounds.