Question

The product of 2 positive numbers is 198. The larger
number is 7 more than the smaller number. Which of the following is true
(As always, choose the BEST answer)*
a.The larger number is odd.
b.The larger number is even
c.Both numbers are even.
d.Both numbers are odd.​

Answer 1

Answer:

The larger number is even.  (b.)

Step-by-step explanation:

Let the 2 positive numbers be   x and y

x * y = 198

y = 7 + x

x ( 7 + x) = 198

xx + 7x - 198 = 0

so

6*33 = 198

18* 11 = 198

(x - 11)  is one root

so  it is 11 and 18

larger number = 18

smaller number = 11