. A two-digit number in which ten's digit is more than the units digit is formed by subtracting 6 from 7 times the sum of the digits. The sum of the digits is equal to five times the difference between the digits.
Find the number.
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Answer:
Let unit digit be X .
Then; according to the question
Tens digit = X+2
Unit digit =X
So,
10(x+2)+x=7[(x+2)+x]
10x+20+x=7(2x+2)
11x+20=14x+14
20–14=14x-11x
6=3x
X=2
So, the unit place digit is 2 and the number be 42.
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