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
Two numbers are such that the ratio between them is 3 : 5. If each is increased by 10, the ratio between the new numbers so formed is 5:7. Find the original numbers. | |||
| Right Option : C | |||
| View Explanation | |||
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 | |||
If the three numbers are in the ratio 2:3:5, so that the sum of their squares is 608. Find the numbers respectively. | |||
| Right Option : A | |||
| View Explanation | |||
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