Question

Find the two number whose sum is 38 and Product is 352​

Answer 1

Answer:

The two numbers are 16 and 22.

Step-by-step explanation:

Let the two numbers be x and y .

Then,

Sum = 38

⇒ x + y = 38

⇒ x = ( 38 - y )            -  (i)

Product = 352

⇒ xy = 352                 - (ii)

Substituting (i) in (ii):

⇒(38 - y) (y) = 352

⇒ 38y - y² = 352

⇒ y² - 38 y + 352 = 0

⇒ y² - 22y - 16y + 352 = 0

⇒ y ( y - 22 ) - 16 ( y - 22 ) = 0

⇒ (y - 22) (y-16) = 0

∴ y = 22 or y = 16

We know that x = 38 - y .

So for y = 22  we get x = 16

And for y = 16 we get x = 22.

Therefore the two possible number whose sum is 38 and product is 352 are 16 and 22

Hope this helps : )