Question

the sum of two numbers is 19 and the difference between the two number is 55

Answer 1

The numbers are 37 and -18.

Step-by-step explanation:

Step 1:

Let the numbers be x and y. Given their sum = 19 and difference = 55. Form equations out of it.

⇒ x + y = 19 --------- (1)

⇒ x - y = 55 --------- (2)

Subtract eq(2) from eq(1)

⇒ 2x = 74

⇒ x = 37

Step 2:

Find y.

⇒ y = 19 - x = 19 - 37 = -18