Question

sum f the digits of a two digit number is 9. when we interchange the digits, it is found that the resulting new number is greater than the original number by 27. what is the two digit number?

Answer 1

Hey Mate!!!!!
Here is your solution....................
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Let the ten digit be x and one's digit be y
A/Q
x + y = 9
x = 9 - y................... ( 1 )
also given that,
10y + x = 10x + y + 27
10y + 9 - y = 10(9 - y) + y + 27(from eqn. 1)
9y + 9 = 90 - 10y + y + 27
9y + 9 = 117 - 9y
9y + 9y = 117 - 9
18y = 108
y = 108/18
y = 6
x = 9 - y
x = 9 - 6
x = 3
So, no. is 10x + y = 10*3 + 6
= 30 + 6 = 36
U can also check the answer by putting the values in equation.
Thanxx.......
Hope it helps.
Plz mark this answer as brainliest.

Answer 2

hii here is ur solution...
hope it helps you..