Question

If the sum of digits of two digit number is 8. If 18 is added to the number its digits are
interchanged. The number is:
(a) 26
(b) 53
(c) 35
(d) 62​

Answer 1

Answer:

Required Number = 35

Step-by-step explanation:

Let the unit digit of two digit number be x

Let the ten's digit of two digit number be y

Thus, the number = 10y + x

Given that sum of digits of two digit number = 8

We have,

x + y = 8 ----- (1)

Also,given that if 18 is added to the number, then its digits are interchanged.

When digits are interchanged, number = 10x + y

We have

10y + x + 18 = 10x + y

(10x - x) + (y - 10y) 1=8

9x - 9y = 18

x - y =2 ----- (2)

Solving (1) and (2), we get

  x + y = 8

  x - y = 2

-------------------

  2x = 10

  x = 10/2

  x = 5

Putting x in (1), we get

5 + y =8

y = 8 - 5

y = 3

Thus, required number = 10(3) + 5 = 35