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The difference of two numbers is 18. If the two numbers increase by 4, then one number is 4 times larger than the other. What are those numbers?

1 Answer

CountryGirl · komi

Jun 14, 2018

$- 26$ $-26$ and $- 8$ $-8$

Explanation:

First equation:
$x - y = 18$ $x-y=18$

Second equation:
$4 (x + 4) = y + 4$ $4(x+4)=y+4$
$y = 4 x + 6$ $y=4x+6$

Substitute the second equation into the first one:
$x - (4 x + 6) = 18$ $x-(4x+6)=18$
$x = - 8$ $x=-8$

Solve for $y$ $y$ :
$y = 4 (- 8) + 6$ $y=4(-8)+6$
$y = - 26$ $y =-26$

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