write the quotient when the sum of a two digit number 54 and the number obtained by reversing the digit divided by
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Given : the sum of a two digit number 54 and the number obtained by reversing the digit divided by sum of digit
To Find : Quotient
Solution:
a two digit number 54
Sum of digit = 5 + 4 = 9
Number reversed = 45
54 + 45 = 99
99 Divided by 9
Quotient = 11
Generalized
Two digit number XY
Value = 10X + Y
reverse YX
Value = 10Y + X
Sum = 10X + Y + 10Y + X
= 11X + 11Y
= 11(X + Y)
Sum of Digits = X + Y
Hence Quotient = 11
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