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ICSE Class 10 Answered

A two digit positive number is such that the products of its digits is 6 .if 9 is added to the number,the digits interchange their places. Find the number
Asked by suneethanaidu80 | 07 Mar, 2019, 07:01: PM
answered-by-expert Expert Answer
let 10th place digit ix x, then unit place digit will ve 6/x because product of two digits are 6
 
hence the number :  10x + (6/x)
 
given : if 9 is added to the number, then unit place and tenth place digits are inter changed
 
Hence 10x +(6/x) + 9 =  (60/x) + x
 
if we multiply all the terms of above eqn. by x and simplify we get,  x2 +x -6 = 0   or  (x+3)(x-2) = 0 
 
hence x=2 is acceptable solution, then the digits are 2 and 3. The number is 23
Answered by Thiyagarajan K | 07 Mar, 2019, 07:46: PM
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