Let the Original number is (X + 10Y).
According to question,
Sum of the digit of the number = 12
X + Y = 12 ----------- (1)
When digit interchanged, number become 36 more than original number, so,
10X + Y = 10Y + X + 36
X - Y = 4 ------------------- (2)
On solving equation (1) and (2), we get
X = 8
Y = 4
So, Original number, = X + 10Y = 8 + 10 × 4 = 48
Post your Comments