<PRE><B>Question 85502</B>
Let x=the larger integer
Then x-1=the smaller integer

Four times the sum=4(x+x-1)=4(2x-1)
14 times the larger integer=14(x)
2 more than 14 times the larger integer=14x+2

Now we are told that

4(2x-1)=14x+2  get rid of parens

8x-4=14x+2  subtract 14x from and also add 4 to both sides

8x-14x-4+4=14x-14x+2+4  collect like terms

-6x=6  divide both sides by -6
x=-1-----------------------------------larger integer

x-1=-1-1=-2-----------------------------smaller integer

CK
4(-3)=14(-1)+2
-12=-14+2
-12=-12


Hope this helps-----ptaylor
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