Question

The sum of two numbers is 50. The first number is 43 less than twice the second number.

Answer 1

x, y - the numbers

The sum of the two numbers is 50.

`x+y=50 \\ x=50-y`

The first number is 43 less than twice the second number.

`x=2y-43 \\ \\ 50-y=2y-43 \\ -y-2y=-43-50 \\ -3y=-93 \\ y=31 \\ \\ x=50-y=50-31=19`

The numbers are 19 and 31.