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ICSE Class 8 Answered

The digit of a two digit number are in the ratio of 2 ratio 3 and the number obtained by interchanging the digits is greater than the original number by 27 what is the original number  
Asked by Josephjaan1 | 04 Mar, 2019, 06:28: PM
answered-by-expert Expert Answer
Let the tenth digit be 2x and unit digit be 3x
 
Then the number is,  (2x)10+3x = 23x
 
by interchanging the digits, changed number is :  (3x)10+2x = 32x
 
Given : 32x - 23x = 27  or 9x = 27  or  x = 3
 
hence the digits are 6 and 9 and the number is 69
Answered by Thiyagarajan K | 04 Mar, 2019, 09:51: PM

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