the product of two numbers is 45 and there some 14 find the two numbers
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the product of two numbers is 45
let,
the one number be =x
the second number=y
the product of two numbers=x(y) =45...... (1)
And, their sum =14
x+y=14
x=14-y....... (2)
sub eq 2 in 1
14-y(y) =45
14y-y^2=45
-y^2+14y-45=0
-(y^2-5y-9y+45)=0
y(y-5) -9(y-5) =0
(y-9) (y-5) =0
y-9=0 &y-5=0
y=9 or y=5
sub y =9 in eq 2
x=14-9=5
or
x=14-5=9
their products is 5(9) =45 or 9(5) =45
sum is 9+5=14 or 5+9=14
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