Question

I need to know quick so i would rly apriciate help, if you do a answer and the work ill give u a brainliest!!!

Answer 1

Answer:

6

Step-by-step explanation:

Let the two integers be a and b.

The difference of them is 26. Thus:

$a-b=26$

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

$a=2+5b$

Substitute:

$a-b=26\\(2+5b)-b=26$

Combine like terms:

$4b+2=26$

Subtract 2 from both sides:

$4b=24$

Divide by 4:

$b=6$

And the second number is:

$a-b=26\\a-6=26$

Add 6 to both sides:

$a=32$

So, our two numbers are 32 and 6

And the smaller integer is 6.

And we're done :)

Answer 2

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