Problema Solution
The sum of two numbers is 25. If 2/3 of the smaller one is 2 more than the 1/4 of the larger one. Find the two numbers.
Answer provided by our tutors
let 'x' and 'y' be the two numbers and lets assume that x>y
the sum of two numbers is 25
x + y = 25
2/3 of the smaller one is 2 more than the 1/4 of the larger one
(2/3)y = 2 + (1/4)x
by solving the system of equations
x + y = 25
(2/3)y = 2 + (1/4)x
we find
x = 16
y = 9
click here to see the step by step solution of the system of equations
the two numbers are 16 and 9.