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ICSE Class 10 Answered

A two digit positive number is such that the product of its digits is 6. If 9 is added to the number, the digits interchange their places. Find the number.
Asked by Ruchi | 19 Feb, 2019, 12:21: PM
answered-by-expert Expert Answer
 
Let the two digit number = 10x + y
 
x is the digit at the ten's place and y is the digit at the unit's place.
 
According to the conditions,
xy = 6 ....(i) and 
10x + y + 9 = x + 10y
→9x - 9y = -9
→ x - y = - 1 ...(ii)
 
From (i) and (ii), we get 
 
x = 2 and y = 3.
 
Therefore the two digit number = 10x + y = 10 × 2 + 3 = 23
Answered by Yasmeen Khan | 19 Feb, 2019, 04:08: PM

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