Respuesta :

Answer:

28 and 32

Step-by-step explanation:

28 plus 32 equals 60 and 32 minus 28 equals 4.

Answer:

The integers are 32 and 28 .

Solution:

Let the two integers be x and y.

It is given that sum of two integers is 60. Writing it in equation form we get,

[tex]x + y = 60[/tex] ……………..(Let this be equation 1)

Again it is given that, the difference between the two integers is 4. Writing it in equation form we get,

[tex]x-y=4[/tex]………………….(let this be equation 2)

Adding Equation 1 and equation 2 we get,

[tex]x+y+x-y=60+4[/tex]

[tex]\Rightarrow 2 x=64[/tex]

[tex]\Rightarrow \mathrm{x}=\frac{64}{2}[/tex]

[tex]\Rightarrow x=32[/tex]

Substituting the value of x = 32 in equation 2 we get

[tex]32-y=4[/tex]

[tex]\Rightarrow 32-4=y[/tex]

[tex]\Rightarrow 28=\mathrm{y}[/tex]

Therefore, the two integers are 32 and 28.