Question

36. The sum of the digits of a two digit number is 15. If the number formed by reversing the digits is
less than the original number by 27. Find the original number
​

Answer 1

Answer:

Number = 96

Reversed = 69

Step-by-step explanation:

Let the number be ab.

( where a is the tens digit and b is the unit one )

Original number (equation) = 10a + b_(1

we have given that their sum is 15. so,

a + b = 15

a = 15 - b_(2

Now, reversed number (eq) = 10b + a_(3

Original no. = Reversed no. + 27 (given

10a + b = (10b + a) + 27 [eq1 = 27 +eq3]

(substituting the eq 3 here)

10(15 - b) + b = (10b + 15-b) + 27

150 - 10b + b = 9b + 42

108 = 18b

6 = b

a = 15 - b (eq2

a = 15 - 6

a = 9

hence, the original number is 96.