: Find out the values of letters and give reasons.
A1+1B=B0
Answers
Answered by
2
Given : A1+1B=B0
To Find : A & B
Solution:
A1
+1B
____
B0
1 + B = 0 only possible when
1 + B = 10 => B = 9 and 1 is carried forward
1
A1
+19
____
90
1 + A + 1 = 9
=> A = 7
71
+19
____
90
A = 7 , B = 9
Other way :
A1+1B=B0
A1 = 10A + 1
1B = 10 + B
B0 = 10B
=> 10A + 1 + 10 + B = 10B
=> 10(A + 1) + (1 + B) = 10(B - 1) + 10
A + 1 = B - 1 => A = B - 2
1 + B = 10 => B = 9
A = 9 - 2 = 7
A = 7 , B = 9
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Answered by
1
a=7
b=9
this is the correct answer
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