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

The larger number is even. (b.)

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