Question

Jill and Gerald are earnestly working
together to find the two numbers sum
is 14 and their product is 45. Which
of the following
can them find the two
numbers.​

Answer 1

Answer :

No. can be 95 and 59

Explanation:

• Let the numbers be x and y

So,

• x + y = 14--------eq1.
• xy = 45-----------eq2.

from eq1.

x = 14 - y-----------eq3.

Putting the value of x from eq3. to eq2.

• xy = 45

=> [14 - y]y = 45

=> 14y - y² = 45

=> y² - 14y + 45 = 0

Solving this quadratic equation.

y² - 14y + 45 = 0

=> y² - 5y - 9y + 45 = 0

=> y[y - 5] -9[y - 5]

=> [y - 5]  [y - 9]

=> y = 5 or

     y = 9

So when y is 5 then x is 9 and when y is 5 then x is 9

So numbers can be 59 and 95