NIMCET 2009 Question Paper with solutions

Question : 68 of 120

Marks: +1, -0

When you reverse the digits of the number 13, the number increases by 18. How many other two-digit numbers increase by 18 when their digits are reversed?

Validate

Solution:

let the required numbers bo

x v

Then,

\;\; (y x)-(x y)=18

10 y+x-10 x-y=18

⇒ \;\; 9(y-x)=18

⇒ \;\; Y-x=Z

Hence,possible numbers are

24,35,46,57,68,79

besides 13 .

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