Question

The sum of the digit of a two digit number is 8. If the digits are reversed the new number increased by 18 find the number

Answer 1

Answer:

Let the digit in ten's place be x and the digit in one's place be y .

Original no. = 10x+y

A/Q

Case I

x+y = 8 ____________(i)

Case II

10y + x = 10x + y + 18

✔9y - 9x = 18

✔ x - y = -2__________(ii)

(i) + (ii)

x + y + x - y = 8 - 2

✔ 2x = 6

✔ x = 3

Therefore,

y = 8 - 3

= 5

Therefore, the digit is 35.