Question

Half of two less than a number is the quotient of six and two more of a number. What is the number

Answer 1

Given : Half of two less than a number is the quotient of six and two more of a number.

To Find :  What is the number

Solution:

Half of two less than a number  = (x - 2)/2

Quotient of six and two more of a number.   = 6/(x + 2)

Equate both

(x - 2)/2 = 6/(x + 2)

=> (x - 2)(x + 2) = 12

=> x² - 4 = 12

=> x² = 16

=> x = ±4

Possible numbers are 4 , - 4

verification :

Half of two less than a number  = (4 - 2)/2  = 1

quotient of six and two more of a number = 6/(4 +2)  = 1

Half of two less than a number  = (-4 - 2)/2  = -3

quotient of six and two more of a number = 6/(-4 +2)  = -3

Learn More:

Solve the following x+y/xy=5 and x-5/xy=7 - Brainly.in

brainly.in/question/8168066

solve for x and y : x+y/xy=2,xy/=6

brainly.in/question/12892518