Question

The sum of two numbers is 19 and their difference is 3. What are the two numbers?

Answer 1

`color(crimson)(x = 11`

Explanation:

Let ‘x’ & ‘y’ be the two numbers.

`x + y = 19`, Eqn (1)

`x - y = 3`, Eqn (2)

Adding Eqns (1), (2),

`x +cancel y + x -cancel(y) = 19 + 3`

`2x = = 22` or `= cancel(22)^color(red)(11) / cancel2`

`color(crimson)(x = 11`