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There are some two digit numbers such that when their digits are interchanged, new digit get decrease by 36 from the previous number. Find highest such number. 
1. 75
2. 85
3. 95
4. 105

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Correct Answer - Option 3 : 95

Given :

There are some two digit numbers such that when their digits are interchanged they get a difference of 36 between them 

Calculations :

Let the number be 10x + y 

Number after digits interchanged 10y + x 

According to the question 

10x + y - (10y + x) = 36 

9x - 9y = 36 

x - y = 4 

Number where difference of digits is 4 are 51, 62, 73, 84 and 95 

We can see 95 is the highest among them. 

∴ Option 3 will be the correct answer. 

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