The sum of two numbers is 12 whole number 2/3 of one of the numbers is equal to 1/3 of the other.find the two numbers

Answer 1

x+y = 12

(2/3)x = (1/3)y
times 3
2x = y
sub that into our first equation
x + y = 12
x + 2x = 12
3x = 12
x = 4
y = 8

The two numbers are 4 and 8

check:
is (2/3)(4) = (1/3)(8) ? YES
is (2/3)(8) = (1/3)(4) ? NO

So we have to take 2/3 of 4 and 1/3 of 8 to satisfy the 2nd condition.
that is,
(1/3)x = (2/3)y
x = 2y

2y + y = 12
..
y = 4, then x = 8