1.

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

Answer» Correct Answer - 27
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).`


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