Question

If the sum of two numbers is 16 and their difference is 4, then find the numbers.​

Answer 1

Step-by-step explanation:

Let x be the first number and y the 2nd

x+y=16……1

x-y=4……2

This forms an equation

since the signs of the 2 equations are different (negative and positive), we add the two equations

(x+x) +(y-y) =(16+4)

2x+0=20

2x=20

x=10

Then substitute the value of x in any of the equations

I take equ 1

x+y=16

10+y=16

y=16–10

y=6

So the two numbers are 10 and 6

Answer 2

let; the first no. = x

the second no. = y

A/q

x+y = 16 Or x-y = 4

= x = 16 - y x = 4-y

therefore ;

16 - y = 4-y

adding y to both sides

answer ; y= 6; x= 10