Question

13
(a) Write a two digit number with sum of its digits.
(b) The sum of the digits of a two digit number is 9.The number got by interchanging
the digits is 27 more than the original number. What is the number?
sed​

Answer 1

Explanation:-

Let the tenth digit be x and first digit be y.

Then,

Two digit Number = 10x + y

A/Q,

x + y = 9--1)

10y + x = 27 + 10x + y

→$10y -y +x -10 x = 27$

→$9y -9x = 27$

→$9(y-x) = 27$

→$y -x = 3-----2)$

• Add eq.1 and eq.2

→$x + y + y-x = 9+3$

→$2y = 12$

→$y = 6$

→x + 6 = 9

→x = 3

Original number is :-

=10x + y

=10 × 3 + 6

=30 + 6

=36

hence,

Original number will be 36.