The sum of two numbers is twice their difference. the larger number is 6 more than twice the smaller. find the numbers.

Let the numbers be x and y; x being the larger number and y being the smaller.

Given,
 
x + y = 2* (x - y)

x + y = 2x - 2y

x = 3y

Also given,

x = 6 + 2y

3y = 6 + 2y

--- y = 6

Thus, x = 3y = 3*6 = 18.

Therefore, the numbers are 18 and 6.

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.