find two numbers which differ by 9 and are such that four times the larger added to three times the smaller gives 92
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Let the larger number be x and smaller number be y; then
x-y=9 [equation 1]
4x+3y=92 [equation 2]
Now take both equations:-
x-y=9
4x+3y=92
Now multiply equation 1 by 4
4x-4y=36
4x+3y=92
-__-___-__
-7y=-56
y=8
x=9+8=17
Therefore, the numbers are 17 and 8
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