The second of three number is 1 less than the first the third number is 5 less than the second if the first number is twice as large as the third find the three number

Answer:The three numbers are 12, 11, and 6Step-by-step explanation:LetFirst Number be xSecond Number be yThird Number be zNow, we can come up with equations from the word problem.The 2nd is 1 less than 1st means:y = x - 13rd is 5 less than 2nd means:z = y - 51st is TWICE as large as 3rd means:x = 2zWe have 3 equations. Let's put 3rd into 1st, we get:y = 2z - 1Now put this into 2nd equation,  we get:z = 2z - 1 - 5Solving for z:5 + 1 = 2z - zz = 6We know x = 2z, so x = 2(6) = 12x = 12and y = x - 1, this means y = 12 - 1 = 11y = 11