Question

the sum of two numbers is 19 and their difference is 13

Answer 1

Answer:

the required numbers are 16 and 3.

Step-by-step explanation:

let the two number be x and y

now, x+y = 19

and, x-y = 13

adding both the equation, we get

2x = 32

=> x = 32/2 = 16

as x + y = 19

=> 16 + y = 19

=> y = 19 - 16 = 3

so, the two numbers are 16 and 3

Answer 2

Explanation:

If we call the two numbers

a and b, then we are told:

a + b = 19

a − b = 13

Adding these two equations we get:

2a = 32

Subtracting the second from the first we get:

2b = 6

Dividing each of these latter equations by 2 we get:

a = 16

b = 3