+0

# If a, b, c, and d are replaced by four distinct digits from 1 to 9, inclusive, then what's the largest possible value of the difference a.b

0
688
8

If a, b, c, and d are replaced by four distinct digits from 1 to 9, inclusive, then what's the largest possible value of the difference a.b - c.d?

PLS HELP

Dec 20, 2018

#1
+111321
+1

a*b will be largest  when  a = 9  and b = 8  [or  vice-versa]

c*d  will be smallest when  c =2 and d =1  [ or vice-versa]

So

The largest possible difference is

9 * 8  - 2*1  =

72  -  2  =

70

Dec 20, 2018
#2
0

its not 70.....

Guest Dec 20, 2018
#3
+111321
0

Sorry...I mis-read that as a multiplication....I think you wanted decimal values

The largest possible difference is

9.8  -  1.2   =

8.6

CPhill  Dec 20, 2018
edited by CPhill  Dec 20, 2018
edited by CPhill  Dec 20, 2018
#4
0

how???????

Guest Dec 20, 2018
#5
+111321
+1

9.8 is the largest decimal that can be formed given the constraints  and 2.1 is the smallest....so....their difference will be the greatest

CPhill  Dec 20, 2018
#6
0

Nevermind i put the wrong question the REAL Question is

If a, b, c, and d are replaced by four distinct digits from 1 to 9, inclusive, then what's the largest possible value of the difference a.bc - 0.d?

Dec 23, 2018
#7
+109512
+2

What do you mean 'nevermind!'

You asked a question and CPhill went to a lot of effort to answer it for you.

The next thing for you to do is to say thank you!

Melody  Dec 23, 2018
#8
+109512
+2

Oh and you can appologize for wasting CPhills time too!

Melody  Dec 23, 2018