SOLUTION: the sum of two numbers is 156 there product is 900

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Question 53205: the sum of two numbers is 156 there product is 900
Found 2 solutions by rajagopalan, venugopalramana:
Answer by rajagopalan(174) (Show Source):
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the sum of two numbers is 156 there product is 900
now factorise the product
it composes of 2x2x3x3x5x5 as prime factors
then decompose this into two groups to give a sum 156
for eg 2x3=6 and the balance 2x3x5x5=150 summing 6+150=156
now the answer is 150 and 6.
algebraically also
x*y=900 ..eqn 1
x+y=156...eqn 2
from eqn 1 x=900/y
sub this in eqn 2
(900/y)+y=156 ..eqn3
expanding and solving the quadratic also you get 150 & 6 as solution.

Answer by venugopalramana(3286) (Show Source):
You can put this solution on YOUR website!
the sum of two numbers(X,Y) is 156 there product is 900
X+Y=156...Y=156-X
XY=900
X(156-X)=900
156X-X^2=900
X^2-156X+900=0
X^2-6X-150X+900=0
X(X-6)-150(X-6)=0
(X-6)(X-150)=0
X=6 AND 150
THE 2 NUMBERS ARE 6 AND 150