3. Write the quotient when the sum of a 2-digit number 54 and the number obtained on reversing the digits
divided by
(b) sum of the digits
Answers
Answer:
Part i). The Quotient is 12
Part ii). The Quotient is 11
Step-by-step explanation:
Given 2-digit number is 39
number we get by revering the digits = 93
Sum of the numbers = 39 + 93 = 132
Sum of the digits of 39 or 93 = 9 + 3 = 12
Part i).
To find Quotient when 132 divided by 11.
\frac{132}{11}=12
11
132
=12
Part ii).
To find Quotient when 132 divided by 12.
\frac{132}{12}=11
12
132
=11
Therefore, Part i). The Quotient is 12 and Part ii). The Quotient is 11
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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