Question

The sum of two numbers is 12. The difference between twice the first number and the second number is 33. Find the two numbers

Answer 1

2x - y = 33
2(7) - y = 33
14 - y = 33
-y = 19
y = -19



Therefore, the two numbers are: 7 and -19, in that order.

Answer 2

Let the two numbers be = x and y

Sum of these two numbers is 12 , so

$x+y=12$ from here we get, $x=12-y$

The difference between twice the first number and the second number is 33

$2x-y=33$  ....(1)

Putting the value of x=12-y in equation (1)

$2(12-y)-y=33$

$24-2y-y=33$

$-3y=9$

$y=-3$

As x+y=12

$x+(-3)=12$

$x=15$

Hence the two numbers are = 15 and -3