by H Bradley and C Higgins
My mother, her mother and I have each written down our birth dates in the form “ddmmyy’, where ‘dd’ is the two digit day, ‘mm’ is the two digit month and ‘yy’ is the last two digits of the year. It transpires that all of these numbers have six digits and no leading zeros.
My mother’s and my grandmother’s numbers are each multiples of my own and all of the digits from 0 to 9 occur somewhere within the three numbers.
What is my mother’s six-digit date of birth?