Question

the sum of two numbers is 4, and their difference is 24. find the numbers.

Answer 1

Let the numbers are x , y .

Sum of the two numbers = x + y

Difference of the numbers = x - y

According to given problem x + y = 4 ---> (1)

x - y  = 24 ---> (2)

To elimnate the y  value add the equations (1) & (2).

x + y  = 4

x - y  = 24

_______________

2x  = 28

Divide eech side by 2.

2x /2 = 28/2

x  = 14

Substitute the x  value in equation (1).

14 + y  = 4

Subtract 14 from each side.

14 + y  - 14 = 4 - 14

y  = -10

Required numbers are 14 and -10.