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