SOLUTION: four numbers have a total of 92. The first number is twice the second number and the third number is 4 times more than the sum of the first two. The fourth number is 3 less than

Question 18985: four numbers have a total of 92. The first number is twice the second number and the third number is 4 times more than the sum of the first two. The fourth number is 3 less than the difference of the first two numbers. What is the difference?
I have access to the answer and after I have that I can do it...but I can not for the life of me figure how to get the fist number. I am doing a series of these problems and Im almost in tears...please help! Thank you!!!!!
Answer by askmemath(368) (Show Source): You can put this solution on YOUR website!
Let the Second number = X
Now, the first number = 2X (since first number is twice the second number)
The third number = (X+2X)+ 4 = 3X +4 (third number is 4 times more than the sum of the first two)
The fourth number = 2X-X -3 = x-3(since it is 3 less than the difference of the first two numbers)

And finally we have the sum of all the numbers = 92
i.e. X+2X+3X +4 +X-3 =92
7x = 92-1
7x = 91
OR X = 13
Can you find out the rest of the numbers? Simply substitute 13 in the rest of the numbers to get their values.
RELATED QUESTIONS
Four numbers have a total of 92. The first number is twice the second number and the... (answered by Earlsdon)

Four numbers have a total of 92. The first number is twice the second number and the... (answered by gonzo)

The sum of three numbers is 92. The second number is 10 more than the first. The third... (answered by josgarithmetic)

four numbers have a total of 92. The first number is twice the second number and the... (answered by venugopalramana)

The sum of three numbers is 92 the second number is eight more than the first and third... (answered by josgarithmetic,MathTherapy)

Four numbers add up to 95. The second number is twice the first number, the third number... (answered by Edwin McCravy)

four consecutive numbers add up to 95 the second number is twice the first number the... (answered by rfer)

The sum of three numbers is 26 if the second number is 3 more than four times the first... (answered by macston)

In a set of numbers, the second number is 3 more than twice the first, and the third... (answered by ikleyn)