Question

the sum of the digit of a two digit number is 15 if the number formed by reversing the digit is less than the original number by 27 find the number​

Answer 1

Given,

Sum of the two digits = 15

Original number - Reversed number = 27

For, calculating the number we have to first calculate the individual digits of the number.

Let,

The first digit of the original number = x

And, the second  digit of the original number = y

(Assume, x and y as the variables,to do the further mathematical calculations.)

According,to the question

x+y = 15 .....(i)

Now,

Original number = (10 × x) + y = 10x+y

Reversed number = (10×y)+x = 10y+x

According to the question,

(10x+y)-(10y+x) = 27

10x+y-10y-x = 27

9x-9y = 27

9(x-y) = 27

x-y = 3 .....(ii)

By adding i and ii,we get that ;

x+y+x-y = 15+3

2x = 18

x = 9

Now,putting the value of x in the equation i,we get that ;

9+y = 15

y = 15-9

y = 6

Original number = (9×10)+6 = 96

Hence,the original number is 96.