Four positive integers a, b, c, and d satisfy

ab + a + b = 524

bc+c+c=146

cd+c+d=104

abcd=8!

a) What is a-d

b) what are a,b,c,d

These problems go off each other, so you can use part a for part b. Please explain how you solved the problem.

Badada Mar 27, 2019

#1**0 **

**I believe your 2nd equation should read:**

**bc+c+c=156 NOT 146.**

**If that is correct, then through simple substitutions, you should get the following values:**

**a = 20, b = 24, c = 6, d = 14**

**With above values, ALL your 4 equations balance out.**

Guest Mar 28, 2019

#3**+1 **

I think this is a past asked question. Maybe it would be helpful to check it out here!

https://web2.0calc.com/questions/help-fast_9

-Daisy

dierdurst
Mar 29, 2019

#4**+1 **

Thanks dierdurst for that link.

To "Badada": Look at the link provided above and see where you made the MISTAKE!!.

I suspected that there was a mistake in your 2nd equation, when I suggested that 146 might be 156. But, you didn't check it carefully enough, since now it is quite obvious where the mistake is in that equation.

You have it as: bc + c + c =146 instead of: bc + B + c = 146.

Guest Mar 29, 2019