Question

A number less than 100 when divided by 9 gives a quotient equal to the digit in the units’ place and the number  formed by inverting the digits exceeds the original number by 9, find the number​

Answer 1

Answer:

Let the digit at tens place be x and at one's place be y .

10x + y = 9y

10x - 8y = 0

therefore , by reverting digits ,

10y + x = 10x + y + 9

x - y = -1

from the two equations , x = 4 and y = 5 .

Ans: 45