The sum of the digits of the
two digit number is 15.
we subtract 9 from the
number the digits are reversed.
find the sum number?
Answers
ANSWER :
ANSWER : the number is 87
Step-by-step explanation:
Let the digits of the two digit number be 'x' and 'y' respectively.
By the given conditions,
x + y = 15
x = 15 - y ----------------( 1 )
second condition is,
10x + y - 9 = 10y + x
[ since, general form of a two digit number is 10a + b where, a and b are the number in tens and ones place numbers respectively ]
=> 9x - 9y = 9
dividing by 9
=> x - y = 1
Substituting ( 1 ),
15 - y - y = 1
- 2y = - 14
y = 7
substituting y = 7 in ( 1 ), which gives,
x = 8
therefore the number is, 10x + y
= 80 + 7
= 87
I hope this is helpful :)