Question

the sum of the digits of a two digit number is 10. the number formed by interchanging the digits is 36 less than the original number. find the original number

Answer 1

Answer:

answer is 73

Step-by-step explanation:

as the digits have sum 10 and if intrechanged then 36 less than original number

Answer 2

ANSWER:-

Given:

The sum of the digits of a two number is 10. The number formed by interchanging the digits is 36 less than the original number.

To find:

Find the original number.

Solution:

Let the digits are R & S.

The original number is 10R+ S.

The reversed number is R + 10S

Given as;

R + S =10

=) S= 10 - R.........(1)

Therefore,

=) (R+10S) - (10R+S)= -36

=) R+10S -10R -S = -36

=) -9R + 9S = -36

=) -R + S = -4

=) -R + 10-R = -4 [using (1)]

=) -2R= -4 -10

=) -2R= -14

=) R= -14/-2

=) R= 7

So,

Putting the value of R in equation (1), we get;

=) S= 10 -7

=) S= 3

Thus,

The original number is 10R + S

=) 10(7) +3

=) 70 +3

=) 73

Hope it helps ☺️