SOLUTION: the sum of two numbers is 25; their product is 144. Find the numbers

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Question 528690: the sum of two numbers is 25; their product is 144. Find the numbers
Answer by Maths68(1474) About Me  (Show Source):
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Let
One number = x
other number = y

Sum
====
x+y=25
x=25-y...............(1)
Product
=======
xy=144...............(2)
Put the value of x in above equation
(25-y)y=144
25y-y^2=144
y^2-25y+144=0
y^2-16y-9y+144=0
y^2-16y-9y+144=0
y(y-16)-9(y-16)=0
(y-9)(y-16)=0
y-9=0 or y-16=0
y=9 or y=16
Put the value of y in (1)
x=25-16=9
x=25-9=16
So numbers are 9 and 16