in two-digit number, the digit in a unit place is half of the digit in the tenth place and the sum of digit is equal to 12. what is the number? please how can solve the question please tell me with explanation
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Answer:
48 is the number
Step-by-step explanation:
Let digit in ones place be x.
Let digits in tens place be y.
Now, it is given that ones digit is half of tens digit.
=> x = y/2 or 2x = y
It is also given that the sum of the digits is 12.
=> x + y = 12
Now, as shown above, 2x = y.
Thus, x + y = 12
=> x + 2x = 12
=> 3x = 12
∴ x = 12/3 => 4
∴ y = 2x = 2*4 => 8
We know that a 2 digit number can generally be written as 10x + y.
Thus, the number is 10x + y
=> 10(4) + 8
=> 40 + 8 => 48
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