When a certain two digits number is divided by the number obtained by
reversing the digits, the quotient is 2 and remainder is 7 . If the number is
divided by the sum of its digits the quotient is 7 and the remainder is 6. Find
the product of the digits of the original number
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Take 2 digit number as 'ab'
we can write it as 10a+b
now case 1
10a+b divided by 10b+a
10a+b=(10b+a)*2 + 7
8a-19b=7 ..........take as eqn1
case 2
10a+b divided by a+b
10a+b=(a+b)*7+6
a-2b=6 ....... eqn 2
solving two equations
b=3
a=8
original number was 83
hence answer is 24
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