the product of two number is 24 . their sum is 14 .find the number
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let the two number be x and y.
product of two given numbers is 24
i. e x*y=24
x=24/y eq.(1)
sum of given 2 no. s is 14
x + y = 14
24/y + y = 14......fromeq. (1)
=>(24+y^2) = 14
y
=> y^2 - 14y + 24= 0
=> y²- 12y - 2y + 24 = 0
=> y(y-12) -2(y-12) =0
=> (y-2) (y-12)= 0
=> y=2 or y= 12
x+y= 14
x= 2 or x=12
the two numbers are 12 and 2.
HOPE IT HELPS!!
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