Question 992791
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One number exceeds another by 7. If the larger number is increased by 4 it will be equal to 1 less than 4 times the smaller number decreased by 6. Find the original number. 
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1.  Your writing was not perfect.  It was difficult to read and to understand it.  I edited and fixed it.


2.  Let  x  be the larger number.  Then the other number is (x-7).


<pre>
" If the larger number is increased by 4"     ----->   x + 4


"4 times the smaller number decreased by 6"   ----->   4*((x-7)-6)
</pre>


The equation is


x + 4 = 4*((x-7)-6) - 1.


Simplify and solve it:


x + 4 = 4*(x-13) - 1,


x + 4 = 4x - 52 - 1,


3x = 4 + 52 + 1 = 57,


x = {{{57/3}}} = 19.