Let the units digit be ‘Y’, so the tens digit will be X.
∴ the number is 10X + Y
X . Y =14 –––––– (i)
10X + Y + 45 = 10Y + X
On simplifying further,
9X – 9Y + 45 = 0
X – Y + 5 = 0
Putting the value of x = 14/Y from equation –––––– (i)
14/Y - Y + 5 = 0
14 – Y2 + 5Y = 0
Y2 – 5Y – 14 = 0
On applying Sreedhracharya formula
Y = – 2 or 7
∴ Y = 7 (Only Positive values)
X = 14/7
∴ X = 2
∴ The number is 27 {2 (10) + 7}.