Solving Statements For A Two Digit Number
Solving Statements For A Two Digit Number
Solving Statements For a Two Digit Number: A two digit number consists of two digits one at unit's place and the other at ten's place. Then two express the number we will use the expanded form for conversion.
Example: A number consists of two digit whose sum is 8. If 18 is added to the number its digits are reversed. Find the number.
Solution Let ones digit be x.
Since the sum of the digits is 8. Therefore, tens digit = 8- x.
Number
....(i)
Now, Number obtained by reversing the digit
The digit at units place will be = 8-x.
The digit at ten's place will be = x.
It is given that if 18 is added to the number its digits are reversed.
Number + 18 = Reversed Number
Putting the value of x in (i), we get
Number
Example: A two digit number is such that product of two digits is 14. When 45 is added to the number, the digits are reversed. Find the number.
Solution: Let ones digit be x.
Since the product of the digits is 14.
Number
....(i)
Now, Number obtained by reversing the digit
The digit at ten's place will be = x.
It is given that if 45 is added to the number its digits are reversed.
Number + 45 = Reversed Number
Either x = 7 or x = -2
As a digit can not be negative, So the digit at units place is 7
So the digit at tens place = 14/7 = 2
Hence the number = 27
A two digit number is four times the sum of its digits and twice the product of the digits. Find the number. | |||
| Right Option : B | |||
| View Explanation | |||
A nu7mber consists of two digits whose sum is 9. If 27 is subtracted from the original number. its digits are interchanged. Then the original number is___________________. | |||
| Right Option : D | |||
| View Explanation | |||
A two digit number such that the product of its digits is 21. When 36 is subtracted from the number the digits are interchanged. Find the digit at the tens place. | |||
| Right Option : A | |||
| View Explanation | |||
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