The sum of 2 numbers is 18 and their products is 56 find the number?
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Answered by
28
LET
The first no. be x
And the other be y
x+ y = 18 ------(i)
xy = 56
y = 56/x
Now, substitute this value of x in eq. (i)
x+ (56/x)= 18
x^2 + 56 = 18x
x^2 -18x +56 =0
x^2 -14x-4x +56 =0
x (x-14) - 4 ( x -14) =0
(x-4)(x-14) = 0
x = 4 / 14
Using eq. 1
x +y =18
4 + y = 18
y = 14
Again,
x +y = 18
14 + y = 18
y = 4
So, the two numbers are 4 and 14.
Answered by
12
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