Problema Solution
Two numbers are in the ratio 5:2. One half their sum is 10 1/2. Find the numbers.
Answer provided by our tutors
let 'x' and 'y' represent the numbers
x : y = 5 : 2 cross-multiply
2x = 5y
One half their sum is 10 1/2:
(1/2)(x + y) = 10 1/2
(1/2)(x + y) = 21/2
by solving the system of equations:
2x = 5y
(1/2)(x + y) = 21/2
we find:
x = 15
y = 6
click here to see the step by step solution of the system of equations:
the numbers are 15 and 6.