MAC + MAAR = JOCKO, find the value of 3A + 2M + 2C(C=2)
Answers
Answer:
31
Step-by-step explanation:
Here J is carry, J=1 when J=1, O=0 with carry 1 and M=9 C+R=O à 0 with carry 1. So, C=2 and R=8 M+A=C à 2 with carry 1, A=3, A+A+1= K, 3+3+1=K=7, 932+9338=10270 so, finally A = 3, M = 9, C = 2, = 3A + 2M + 2C = 9 + 18 + 4 = 31
Question :- MAC + MAAR = JOCKO, find the value of 3A + 2M + 2C(C=2) ?
Solution :-
Conclusion 1 ) 3 digit number + 4 digit number = 5 digit number . Therefore, J = 1 . (From Carry.)
Conclusion 2) Now put value of J and C and take some example ,
MA2
MAAR.
-------------
1O2KO.
-------------
J = 1
Ex 1):- 642 Ex 2):- 652
6448 9558
---------- ----------
7090 10210
We can conclude that, in order to get J = 1 , value of M must be 9 .
Therefore, M = 9, and than , O = 0 . (9 + 1 carry) = 10
Conclusion 3) :- Putting these value now we get,
9A2
9AAR.
-------------
102K0.
-------------
→ 2 + R = 0 (1 carry)
→ R = 10 - 2 = 8 .
Conclusion 4) :- Putting value of R = 8 also Now,
9A2
9AA8.
-------------
102K0.
-------------
→ 1(carry) + A + A = K
→ 9 + A = 2 (1 carry)
So,
→ A = 12 - 9 = 3.
Therefore,
→ 1 + 3 + 3 = 7 = K .
Conclusion 5) :- Putting all values Now, we get,
932
932 9338.
-------------
10270.
-------------
Therefore :-
- M = 9
- A = 3
- C = 2
- R = 8
- J = 1
- O = 0
- K = 7
Hence,
→ 3A + 2M + 2C
→ 3*3 + 2*9 + 2*2
→ 9 + 18 + 4
→ 31. (Ans.)
________________________
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