Question

two mubers are differed by .four and their product is 192 find the numers

Answer 1

the number are 12,16 there product is 192

Answer 2

Answer:

Step-by-step explanation:

5 answers · Mathematics

Best Answer

One No. = x

Other No. = y

x - y = 4

x = y + 4 ........ Eq. 1

xy = 192

y = 192 / x ..... Eq 2

Sub y + 4 from Eq. 1 for x in Eq. 2:

y = 192 / (y + 4)

y(y + 4) = 192

y² + 4y = 192

y² + 4y - 192 = 0

(y - 12)(y + 16) = 0

If the product of two factors equals zero, then one or both factors equal zero.

If y - 12 = 0,

y = 12

and

x = 12 + 4

x = 16

If y + 16 = 0,

y = - 16

and

x = - 16 + 4

x = - 12

The two numbers are 12 & 16 or - 12 & - 16.