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

Question

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

2042

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

Guest Dec 20, 2018

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CPhill · Answer 1 · 2018-12-20T04:55:43

#1

+128475

+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

CPhill Dec 20, 2018

#2

0

its not 70.....

Guest Dec 20, 2018

#3

+128475

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

+128475

+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

Guest · Answer 2 · 2018-12-23T04:47:41

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?

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

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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

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