15. A number consist of two digits in which the ten's digit exceeds the units digits by 6. The number itselfis
equal to ten times the sum of digits. Find the number.
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ANSWER:-
Given:
A number consists of two digits in which the ten's digit exceeds the units digits by 6. The number itself is equal to ten times the sum of digits.
To find:
The number.
Solution:
Let the digit at ones place be R.
So,
Digit at ten's place= R + 6
Therefore,
Number= (x+6)10+ x
=) 10x +60 + x
=) 11x +60
Sum of digits:
=) x+ x+ 6
=) 2x + 6
According to the question:
=) 11x + 60= 10(2x+6)
=) 11x + 60= 20x + 60
=) 11x -20x = 60 -60
=) -9x = 0
=) x= 0/-9
=) x= 0
Therefore,
Ones digit = 0 &
Tens digit= x+ 6 = 0 +6 = 6
Thus,
The required number is 60.
Hope it helps ☺️
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