A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digits are reversed. Find the number.

Answer

27

Explanation

Let the tens digit be x and units digit be y. Then,
`xy=14" and "10x+y+4=10y+x`
`implies" "xy=14" and "9(y-x)=45impliesxy=14" and "y-x=5`
`implies" "x(x+5)=14" and "y=(5+x).`