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ICSE Class 9 Answered

The sum of a two-digit number and the number formed by interchanging the digit is 132.If 12 is added to the number,bew number becomes 5times the sum of the digits,find the number?
Asked by rakhianil | 25 Aug, 2019, 08:10: AM
answered-by-expert Expert Answer
Let the two digit number = 10x + y
 
According to the 1st codition, we get
10x + y + 10y + x = 132
11x + 11y = 132
x + y = 12   ....... (1)
 
According to the 2nd codition, we get
 
10x +y + 12 = 5(x + y)
5x - 4y = -12 ... (2)
 
Multiply (1) by 4, we get
 
4x + 4y = 48 .... (3)
 
Adding (2) and (3), we get
 
x = 4 and y = 8
 
Original number = 10x + y = 10(4) + 8 = 48
Answered by Yasmeen Khan | 26 Aug, 2019, 10:54: AM

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