The product of two numbers is 192 and the sum of these two numbers is 28. what is the smaller of these two numbers? Options: A . &nbsp12 B . &nbsp14 C . &nbsp16 D . &nbsp18

The product of two numbers is 192 and the sum of these two numbers is 2

Question

The product of two numbers is 192 and the sum of these two numbers is 28. what is the smaller of these two numbers?

Options:

A . 12

B . 14

C . 16

D . 18

Answer: Option A

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Sonam 2017-10-09 16:47:31

x*y=192 i eqn
x+y=28 ii eqn
y=192/x from i eqn
Value of y put in ii eqn
x+192/x=28
x^2+192=28x
x^2-28x+192=0
x^2-16x-12x+192=0
x(x-16)-12(x-16)=0
(x-12)(x-16)=0
x=12,16
So smaller num is 12

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