a two digit number is 10times the sum of its digit. how many values can it assume?
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Answer:
9 values can be assumed
Step-by-step explanation:
Let the digit in the tens place be x and units place be y.
Number = 10x + y
Given,
10x + y = 10(x + y)
10x + y = 10x + 10y
9y = 0
y = 0
With y = 0, only 9 two digits can be formed.
10, 20, 30, 40, 50, 60, 70, 80, 90
The given information stands true for all.
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