C and D each represent different digits. For example, if C = 2, then CCC = 222. If C + CC = D4, wh*
A
B
C
D
Answers
Answer:
Answer:
The value of C = 7 and D = 8.
Step-by-step explanation:
Given data, C = 2.
- We can express the number CCC like, CCC = (100 × C) + (10 × C) + C
CCC = (100 × 2) + (10 × 2) + 2 [as C =2]
= 200 + 20 + 2
= 222
- The value of CC = 10C + C [as we have seen CCC = 100C + 10C + C]
= 11C = 11 × 2 = 22
So, the value of C + CC = 2 + 22 = 24..........(1)
The given value of C + CC = D4 ..................(2)
Comparing (1) and (2) we can write, D4 = 24
(D × 10) + 4 = (2 × 10) + 4
D × 10 = 2 × 10
D = C = 2
So the value of C can not be 2.
- If we put C = 7, then CCC = 777
C + CC = 7 + 77 = 84 = D4
So, D = 8 and here C ≠ D
∴ The value of C = 7 and D = 8.
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