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CBSE Class 10 Answered

Product of the two digits of a positive no. is 18, when 63 is subtracted from the no. the digits interchange their places. Find the no.
Asked by Murali | 05 Oct, 2013, 10:03: PM
answered-by-expert Expert Answer
To solve any word problem, we would suggest you to analyse the given information and move step by step, as shown below.
 
 
 
Let the tenÂ’s place digit of a two digit number be x and the unitÂ’s place digit be y.
So, number = 10x + y
 
(A two digit number say 52 can be written as 5 x 10 + 2)
 
Now, given, product of digits is 18.
Hence, xy = 18 or y = 18/x               ... (1)
 
Now ,when the digits are interchanged, then the number becomes 10y + x
(In this case, ten's digit will be y and ones place will be x)
 
Again, it is given that when 63 is subtracted from the no. the digits interchange their places. Thus, we get,
10x + y - 63 = 10y + x
Now, from (1) put the value of y.
10x + 18/x - 63 = 180/x + x
Now, you can solve the above equation to get x = 9
 
Hence, 
Tens place digit = 9
Units place digit = 18/9 = 2
Number = 10x + y = 10 x 9 + 2 = 92
Answered by | 05 Oct, 2013, 11:51: PM

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