A certain two digit number is …
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Rashmi Bajpayee 6 years, 11 months ago
Let the ones place digit be y and tens place be x, then the number be 10x + y.
According to quesiton,
10x + y = 9(x + y)
=> 10x + y = 9x + 9y
=> 10x - 9x = 9y - y
=> x = 8y ..........(i)
Again according to second condition,
10x + y - 63 = 10y + x
=> 10 x - x + y - 10y = 63
=> 9x - 9y = 63
=> x - y = 7
Putting the value of x from eq. (i), we get
8y - y = 7
=> 7y = 7
=> y = 1
Putting the value of y in eq. (i), we get
x = 8 x 1 = 8
Therefore, the number is 10 x 8 + 1 = 81.
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