The difference of two numbers is 6 and their product is 55.
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let the smaller number be x
thus bigger number is (x+6)
ATGC
x(x+6) = 55
x² + 6x = 55
x²+6x-55 = 0
x²-5x+11x-55= 0
x ( x-5 ) + 11(x-5)= 0
(x-5) (x+11)= 0
x=5 or x = -11
value of x cannot be negative ,
x≠ -11
x=5.
therefore , bigger number = x+6
= 5+6
= 11
thus the two numbers are 5 and 11
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