If 1AB + CCA = 697 and there is no carry-over in addition, find the value of A + B + C.

Solution:

Rewriting the problem statement we have

1 A B
C C A
6 9 7

Since there is no carry over we can say

1 + C = 6

C = 5

A + C = 9

A = 9 - 5 = 4

B + A = 7

B = 3

A + B + C = 4 +3 + 5 = 12

✦ Try This: If 2AB + CCA = 897 and there is no carry-over in addition, find the value of A + B + C.

Rewriting the problem statement we have

2 A B
C C A
8 9 7

Since there is no carry over we can say

2 + C = 8

C = 6

A + C = 9

A = 9 - 6 = 3

B + A = 7

B + 3 = 7

B = 7 - 3 = 4

A + B + C = 3 + 4 + 6 = 13

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 16

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NCERT Exemplar Class 8 Maths Chapter 13 Problem 47

If 1AB + CCA = 697 and there is no carry-over in addition, find the value of A + B + C.

Summary:

If 1AB + CCA = 697 and there is no carry-over in addition, the value of A + B + C is 12.

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