Question

Please help me with question 19

Answer 1

Alright, lets get started.

Suppose the smaller integer = n

So, larger integer will be = n+2

3 times of larger integer will be = $3(n+2)$

smaller integer is added into this , so

$n +3 (n+2)$

The result is 2 less than 5 times of smaller integer, so

$5n - 2$

Both are equal so,

$n + 3 (n+2) = 5n - 2$

$n + 3n + 6 = 5n - 2$

Rafael makde the mistake that he didn't put the larger integer into parenthesis like (n+2) , so three times will be 3 n + 6 as he got 3n + 2

So, the correct equation is

$n +3n +6 = 5n - 2$

Solving the equation

$4n + 6 = 5n - 2$

$n = 8$

So, saller integer is 8 and larger integer is $8 + 2 = 10$

So, both integers are 8 and 10.  :  Answer

Hope it will help :)