Question

at 1x 2
3. Find the original number if the sum of digit and the number obtained by interchanging th
digits are as follows:
(ii)7, 27 more than the original number​

Answer 1

Given,

Sum of two digits number =7

Therefore,

Ten' digit number = 7-x

= 10 (7-x) +x

= 70 -10x +x

= 70 -9x

Now, number obtained by interchanging the digit

SO, number = 10x +7-x

= 9x +7

According to the question

it is given that 27 is added to the original number

70- 9x + 27= 9x+7

70 + 27 - 7 = 9x + 9x

90 = 18x

5= x

Now,

we have to find the original number

By putting the value of x in 70 -9x

= 70 - 9×5

= 70 - 45

=25

Hence, the original number is 25