Respuesta :

x+y=31.5
x-y=5.25

add 2 equations
x+y+x-y=31.5+5.25
2x=36.75
x=18.375
y=31.5-18.375=13.125
check : 18.375+13.125=31.5, 18.375-13.125=5.25 
so
Answer:
18.375 and 13.125

Answer:

The two numbers are 18.375 and 13.125

Step-by-step explanation:

Given that the sum of two numbers is 31.5 and their difference is 5.25

we have to find the two numbers.

Let the two numbers are x and y.

As sum of two numbers is 31.5 and difference is 5.25

∴ [tex]x+y=31.5[/tex]   →   (1)

[tex]x-y=5.25[/tex]   →   (2)

Adding eq (1) and (2), we get

[tex]2x=31.5+5.25=36.75[/tex]

[tex]x=\frac{36.75}{2}=18.375[/tex]

(2) ⇒ 18.375-y=5.25 ⇒ y=13.125

Hence, the two numbers are 18.375 and 13.125