Respuesta :

xKelvin

Answer:

6

Step-by-step explanation:

Let the two integers be a and b.

The difference of them is 26. Thus:

[tex]a-b=26[/tex]

One of them (let's use a) is 2 more than 5 times the other. Thus:

[tex]a=2+5b[/tex]

Substitute:

[tex]a-b=26\\(2+5b)-b=26[/tex]

Combine like terms:

[tex]4b+2=26[/tex]

Subtract 2 from both sides:

[tex]4b=24[/tex]

Divide by 4:

[tex]b=6[/tex]

And the second number is:

[tex]a-b=26\\a-6=26[/tex]

Add 6 to both sides:

[tex]a=32[/tex]

So, our two numbers are 32 and 6

And the smaller integer is 6.

And we're done :)

zarampa

Answer:

The smaller intrger is:

6

Step-by-step explanation:

a = 5b + 2

a - b = 26

then:

(5b+2) - b = 26

4b = 26 - 2

4b = 24

b  = 24/4

b = 6

a = 5b + 2

a = 5*6 + 2

a = 30 + 2

a = 32

Check:

32-6 = 16

32 = 5*6 + 2

32 = 30 + 2

6<32

the smaller integer is:

6

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