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ICSE Class 9 Answered

The sum of digits of a two digit number is 11.If the digit at ten's place is increased by 5 and the digit at unit's placeis decreased by 5,the digits of the number are found to be reversed.find the original number
Asked by sunnyp1966 | 12 Oct, 2018, 06:46: AM
answered-by-expert Expert Answer
 
Let the digit at unit's place = x and 
the digit at ten's place       = y
Two digit number = 10y + x

According to the first condition,
x + y = 11   ....(i)

According to the second condition,
10(y + 5) + (x - 5) = 10x + y
after solving, we get
x - y = 5     ....(ii)

Solve equation (i) and (ii), simultaneously, we get
 
x = 8 and y = 3
Therefore the original number is 10y + x = 38
Answered by Yasmeen Khan | 12 Oct, 2018, 09:20: AM

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