Question

In the sample subtraction problem below, single digits are replaced by letters, Find the values of 4 * A + 3 * B + 7 * C * D = ? A 3 C 3 - 1 B 8 7 -------------- 6 1 5 D *
1 point
(a) 203
(b) 196
(c) 206
(d) 199

Answer 1

Given :

 A3C3

- 1B87

____

 615D

single digits are replaced by letters,

To Find:  Evaluate  4 * A + 3 * B + 7 * C * D

Solution:

 A3C3

- 1B87

____

 615D

3 - 7 = D  => 13 - 7 = D => D = 6

C - 1  - 8  = 5  => C - 9 = 5 =>  10 + C  - 9 = 5

=> C = 4

3 - 1 - B  = 1

=> 2 - B = 1

=> B = 1

A - 1 = 6  => A = 7

7343

-1187

____

6156

A = 7  , B = 1  , C = 4 , D  = 6

4 * A + 3 * B + 7 * C * D

= 4 * 7  + 3 * 1  + 7 * 4 * 6

= 28 + 3 + 168

= 199

Correct answer is 199

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