Answer the following questions.
a. The sum of the digits of a two-digit number is 8. The ones digit is three times the tens
digit. Find the number.
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Answer :
- The number is 26
Given :
- The sum of the digits of a two - digit number is 8
- The ones digit is three times the tens digit
To find :
- The Number
Solution :
- Let the unit place digit number be x
- Let the tens place digit number be y
Given that, The sum of the digits of a two - digit number is 8 so,
》x + y = 8
The ones digit is three times the tens digit so,
》x = 3y
- x + y = 8 is equation (2)
- x = 3y is equation (1)
Now, putting the value of x in equation (2) we get,
》x + y = 8
》3y + y = 8
》4y = 8
》y = 8/4
》y = 2
Now, putting the value of y in equation (1) we get,
》x = 3y
》x = 3(2)
》x = 6
- y = 2
- x = 6
Hence , Number is 26
To check :
》x + y = 8
》2 + 6 = 8
》8 = 8
Hence verified.
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